The portion calculator will certainly add, subtract, multiply and also divide fractions with choose or unequal denominators. It will certainly also allow us to simplify fractions, transform fractions come decimals and also decimals to fractions.

You are watching: 7 divided by 1/4 as a fraction

First, merely input the worths a,b,c,d for the fountain \(\fracab\) and also \(\fraccd\), then the mathematical operation you great to carry out (+, -, x, /). The calculator will instantly and accurately perform the operation and give the price in the easiest form. Girlfriend can likewise use the calculator to examine your job-related that you’ve excellent manually.

Adding and Subtracting Fractions

Like (Common) Denominators

Add or subtract the numerators and also keep the platform the same.

Ex: \(\frac35 + \frac45\)

Since the denominator is 5 in both fractions, include 3 and also 4 to get 7. The denominator remains 5, therefore the price is 7/5.

\(\frac76 – \frac56\)

Since the denominator is 6 in both fractions, subtract 5 indigenous 7 to acquire 2. The fraction is then \(\frac26\).

But now we have the right to simplify \(\frac26\). To simplify, look because that a typical factor. Notification that 2 divides evenly right into both 2 and 6. Therefore, division both numerator and denominator through 2 to acquire \(\frac13\). The portion is now simplified.

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Unlike Denominators

To include and subtract uneven denominators, first calculate the common denominator. The easiest method to perform that is to multiply the 2 denominators. This wont constantly give the lowest typical denominator, but you have the right to simplify after adding and subtracting.

Ex: \(\frac25 + \frac47\)

A common denominator is 5(7) = 35. Due to the fact that the denominator in the an initial fraction is multiply by 7, the numerator must also be multiplied by 7 to acquire \(\frac1435\). Because the denominator in the second portion is multiplied by 5, the numerator have to be too to get \(\frac2035\).

Now include \(\frac1435+\frac2035=\frac3435\)

Subtraction is excellent the very same way, simply subtract the 2 fractions after ~ rewriting the fractions with their common denominators. If you must simplify, remember to division by the greatest usual factor.Adding and also Subtracting fractions Video

Multiplying and Dividing Fractions

When multiplying fractions, simply multiply across the numerators and across the denominators. Climate simplify. You can likewise simplify very first before multiplying.

Ex: \(\frac29\times\frac47\)

Multiply 2 and 4 to get 8. Climate multiply 9 and 7 to obtain 63. The an outcome is \(\frac863\). There is no leveling needed due to the fact that the greatest common factor is 1.

Now intend we wish to divide \(\frac29 \div \frac47\).

When separating fractions, take it the an initial fraction and multiply by the reciprocal of the second. The mutual is just interchanging the numerator and also denominator. The department problem turns right into a multiplication problem.

\(\frac29 \times \frac74\)

2 × 7 = 14 and 9 × 4 = 36. Therefore the prize is \(\frac1436\). But an alert this isn’t in most basic form. The greatest common factor is 2, so splitting both by 2 offers the simplified answer of \(\frac718\).Multiplying and also Dividing fountain Video

Converting fountain to Decimals

The convert fraction to decimal calculator will take any fraction and readjust it come a decimal.

The an approach to readjust a fraction to a decimal is fairly simple. Simply divide the molecule by the denominator.

Change \(\frac1425\) to a decimal.

Divide 14 by 25 to acquire 0.56. You deserve to do this on a calculator or manually using long division. Part fractions are not as basic to work-related by hand, particularly those that space non-terminating. Those space much easier to work on this calculator.

But if you select to solve manually, the calculator renders a good tool to instantly examine your work.Converting fountain to decimals Video

Converting decimals to Fractions

Changing decimal to fountain is the station of an altering fractions come decimals. The calculator will perform this rapidly with precise results by simply entering the decimal value.

To transform manually, take it the decimal and convert to a entirety number, then division by 10 raised to the number of decimal places moved to the best to transform the number. From over there you can simplify the portion if needed.

Ex:

Convert 0.68 come a fraction. To adjust 0.68 come a totality number, relocate the decimal suggest 2 areas ot the appropriate to gain 68. Due to the fact that we relocated 2 decimal places, divide 68 by 10 elevated to the 2nd power, i beg your pardon is 100.

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That offers us \(\frac68100\). Currently we have the right to simplify the portion by looking for a usual factor. If girlfriend don’t know the greatest common factor you can start by dividing by any common factor. An alert 68 and also 100 are both divisible by 2. This to reduce the fraction to 34/50. Native here, notification that both 34 and also 50 room divisible by 2. This reduces to \(\frac1725\), i m sorry is the streamlined answer.

You can check your hands-on calculations using this calculator or just input the details for your particular problem for virtually instant, exact results!