Below are multiple fractivity rememberingsomer.coms qualified of enhancement, subtractivity, multiplication, division, simplification, and conversion between fractions and also decimals. Fields over the solid black line represent the numerator, while fields below reexisting the denominator.

You are watching: 9 divided by 2 as a fraction

 + - x / = ? ?

## Mixed Numbers rememberingsomer.com

 + - x / = ?

 =?

 = ? ?

 = ?

## Big Number Fractivity rememberingsomer.com

Use this rememberingsomer.com if the numerators or denominators are exceptionally significant integers.

 + - x / = ? In math, a fraction is a number that represents a part of a whole. It is composed of a numerator and also a denominator. The numerator represents the variety of equal components of a whole, while the denominator is the total variety of parts that consist of said entirety. For example, in the fraction of
 3 8
, the numerator is 3, and also the denominator is 8. A more illustrative instance could involve a pie via 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the full of 8 slices that comprises the whole pie would certainly be the denominator. If a perkid were to eat 3 slices, the staying fraction of the pie would certainly therefore be
 5 8
as presented in the photo to the best. Note that the denominator of a fraction cannot be 0, as it would certainly make the fractivity undefined. Fractions deserve to undergo many kind of various operations, some of which are pointed out below.

Unfavor including and also subtracting integers such as 2 and 8, fractions call for a widespread denominator to undergo these operations. One approach for finding a widespread denominator entails multiplying the numerators and also denominators of all of the fractions connected by the product of the denominators of each fractivity. Multiplying all of the denominators ensures that the brand-new denominator is specific to be a multiple of each individual denominator. The numerators also should be multiplied by the proper determinants to preserve the worth of the fraction all at once. This is arguably the most basic means to ensure that the fractions have a widespread denominator. However before, in the majority of instances, the services to these equations will certainly not show up in simplified develop (the offered rememberingsomer.com computes the simplification automatically). Below is an example using this technique.

 a b
+ c
d
= a×d
b×d
+ c×b
d×b
bd
 EX: 3 4
+ 1
6
= 3×6
4×6
+ 1×4
6×4
= 22
24
= 11
12

This process can be offered for any number of fractions. Just multiply the numerators and also denominators of each fraction in the trouble by the product of the denominators of all the various other fractions (not including its own corresponding denominator) in the problem.

 EX: 1 4
+ 1
6
+ 1
2
= 1×6×2
4×6×2
+ 1×4×2
6×4×2
+ 1×4×6
2×4×6
=12
 48
+ 8
48
+ 24
48
= 44
48
= 11
12

An different strategy for finding a common denominator is to determine the leastern common multiple (LCM) for the denominators, then include or subtract the numerators as one would an integer. Using the leastern prevalent multiple deserve to be more efficient and is more likely to lead to a fraction in streamlined create. In the example over, the denominators were 4, 6, and 2. The leastern common multiple is the initially shared multiple of these 3 numbers.

 Multiples of 2: 2, 4, 6, 8 10, 12 Multiples of 4: 4, 8, 12 Multiples of 6: 6, 12

The initially multiple they all share is 12, so this is the least prevalent multiple. To complete an addition (or subtraction) trouble, multiply the numerators and also denominators of each fractivity in the trouble by whatever worth will make the denominators 12, then add the numerators.

 EX: 1 4
+ 1
6
+ 1
2
= 1×3
4×3
+ 1×2
6×2
+ 1×6
2×6
=3
 12
+ 2
12
+ 6
12
= 11
12

### Subtraction:

Fractivity subtraction is fundamentally the very same as fractivity enhancement. A common denominator is compelled for the operation to take place. Refer to the addition section and the equations below for clarification.

See more: Driving Distance From Eugene To Crater Lake National Park, How Far Is Crater Lake National Park From Eugene

 a b
– c
d
= a×d
b×d
– c×b
d×b
bd
 EX: 3 4
– 1
6
= 3×6
4×6
– 1×4
6×4
= 14
24
= 7
12

### Multiplication:

Multiplying fractions is reasonably straightforward. Unfavor including and subtracting, it is not vital to compute a common denominator in order to multiply fractions. Ssuggest, the numerators and also denominators of each fractivity are multiplied, and also the result forms a brand-new numerator and denominator. If possible, the solution have to be simplified. Refer to the equations below for clarification.

 a b
× c
d
= ac
bd
 EX: 3 4
× 1
6
= 3
24
= 1
8

### Division:

The process for separating fractions is equivalent to that for multiplying fractions. In order to divide fractions, the fraction in the numerator is multiplied by the reciprocal of the fraction in the denominator. The reciprocal of a number a is ssuggest
 1 a
. When a is a fraction, this essentially requires exchanging the position of the numerator and the denominator. The reciprocal of the fraction
 3 4
would certainly therefore be
 4 3
. Refer to the equations listed below for clarification.

 a b
/ c
d
= a
b
× d
c
bc
 EX: 3 4
/ 1
6
= 3
4
× 6
1
= 18
4
= 9
2

### Simplification:

It is often simpler to occupational with streamlined fractions. Therefore, fractivity services are generally expressed in their streamlined forms.
 220 440
for example, is more cumbersome than
 1 2
. The rememberingsomer.com provided retransforms fraction inputs in both imappropriate fraction develop as well as combined number create. In both cases, fractions are presented in their lowest creates by splitting both numerator and also denominator by their greatest common element.

### Converting between fractions and also decimals:

Converting from decimals to fractions is straightforward. It does, but, call for the understanding that each decimal area to the appropriate of the decimal allude represents a power of 10; the first decimal place being 101, the second 102, the 3rd 103, and so on. Sindicate recognize what power of 10 the decimal extends to, usage that power of 10 as the denominator, enter each number to the best of the decimal allude as the numerator, and simplify. For instance, looking at the number 0.1234, the number 4 is in the fourth decimal location, which constitutes 104, or 10,000. This would make the fraction
 1234 10000
, which simplifies to
 617 5000
, considering that the best widespread factor in between the numerator and also denominator is 2.

Similarly, fractions via denominators that are powers of 10 (or have the right to be converted to powers of 10) have the right to be analyzed to decimal create utilizing the exact same ethics. Take the fractivity
 1 2
for example. To transform this fractivity right into a decimal, initially convert it right into the fraction of
 5 10
. Knowing that the first decimal area represents 10-1,
 5 10
can be converted to 0.5. If the fractivity were instead
 5 100
, the decimal would then be 0.05, and also so on. Beyond this, converting fractions right into decimals requires the operation of lengthy division.

### Common Engineering Fractivity to Decimal Conversions

In design, fractions are commonly provided to define the size of components such as pipes and also bolts. The a lot of prevalent fractional and decimal equivalents are listed below.

 64th 32nd 16th 8th 4th 2nd Decimal Decimal(inch to mm) 1/64 0.015625 0.396875 2/64 1/32 0.03125 0.79375 3/64 0.046875 1.190625 4/64 2/32 1/16 0.0625 1.5875 5/64 0.078125 1.984375 6/64 3/32 0.09375 2.38125 7/64 0.109375 2.778125 8/64 4/32 2/16 1/8 0.125 3.175 9/64 0.140625 3.571875 10/64 5/32 0.15625 3.96875 11/64 0.171875 4.365625 12/64 6/32 3/16 0.1875 4.7625 13/64 0.203125 5.159375 14/64 7/32 0.21875 5.55625 15/64 0.234375 5.953125 16/64 8/32 4/16 2/8 1/4 0.25 6.35 17/64 0.265625 6.746875 18/64 9/32 0.28125 7.14375 19/64 0.296875 7.540625 20/64 10/32 5/16 0.3125 7.9375 21/64 0.328125 8.334375 22/64 11/32 0.34375 8.73125 23/64 0.359375 9.128125 24/64 12/32 6/16 3/8 0.375 9.525 25/64 0.390625 9.921875 26/64 13/32 0.40625 10.31875 27/64 0.421875 10.715625 28/64 14/32 7/16 0.4375 11.1125 29/64 0.453125 11.509375 30/64 15/32 0.46875 11.90625 31/64 0.484375 12.303125 32/64 16/32 8/16 4/8 2/4 1/2 0.5 12.7 33/64 0.515625 13.096875 34/64 17/32 0.53125 13.49375 35/64 0.546875 13.890625 36/64 18/32 9/16 0.5625 14.2875 37/64 0.578125 14.684375 38/64 19/32 0.59375 15.08125 39/64 0.609375 15.478125 40/64 20/32 10/16 5/8 0.625 15.875 41/64 0.640625 16.271875 42/64 21/32 0.65625 16.66875 43/64 0.671875 17.065625 44/64 22/32 11/16 0.6875 17.4625 45/64 0.703125 17.859375 46/64 23/32 0.71875 18.25625 47/64 0.734375 18.653125 48/64 24/32 12/16 6/8 3/4 0.75 19.05 49/64 0.765625 19.446875 50/64 25/32 0.78125 19.84375 51/64 0.796875 20.240625 52/64 26/32 13/16 0.8125 20.6375 53/64 0.828125 21.034375 54/64 27/32 0.84375 21.43125 55/64 0.859375 21.828125 56/64 28/32 14/16 7/8 0.875 22.225 57/64 0.890625 22.621875 58/64 29/32 0.90625 23.01875 59/64 0.921875 23.415625 60/64 30/32 15/16 0.9375 23.8125 61/64 0.953125 24.209375 62/64 31/32 0.96875 24.60625 63/64 0.984375 25.003125 64/64 32/32 16/16 8/8 4/4 2/2 1 25.4