x/30=3/10

This encounters adding, subtracting and finding the least typical multiple.




You are watching: What is 3/10 of 30

Step by step Solution

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Rearrange:

Rearrange the equation by individually what is come the right of the equal authorize from both political parties of the equation : x/30-(3/10)=0

Step by action solution :

Step 1 :

3 leveling —— 10Equation in ~ the finish of step 1 : x 3 —— - —— = 0 30 10

Step 2 :

x leveling —— 30Equation at the finish of action 2 : x 3 —— - —— = 0 30 10

Step 3 :

Calculating the Least typical Multiple :3.1 discover the Least typical Multiple The left denominator is : 30 The best denominator is : 10

Number the times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2111
3101
5111
Product of allPrime Factors301030

Least common Multiple: 30

Calculating multiplier :

3.2 calculate multipliers because that the 2 fractions represent the Least typical Multiple by L.C.M denote the Left Multiplier by Left_M represent the right Multiplier through Right_M signify the Left Deniminator through L_Deno signify the ideal Multiplier through R_DenoLeft_M=L.C.M/L_Deno=1Right_M=L.C.M/R_Deno=3

Making indistinguishable Fractions :

3.3 Rewrite the two fractions into equivalent fractionsTwo fractions are referred to as equivalent if they have the very same numeric value. For instance : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are indistinguishable as well. To calculation equivalent fraction , multiply the numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. X —————————————————— = —— L.C.M 30 R. Mult. • R.

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Num. 3 • 3 —————————————————— = ————— L.C.M 30 adding fractions that have a typical denominator :3.4 including up the two indistinguishable fractions include the two indistinguishable fractions i beg your pardon now have a typical denominatorCombine the molecule together, placed the sum or distinction over the common denominator then mitigate to lowest state if possible:

x - (3 • 3) x - 9 ——————————— = ————— 30 30 Equation in ~ the end of step 3 : x - 9 ————— = 0 30

Step 4 :

When a portion equals zero :4.1 as soon as a portion equals zero ...Where a fraction equals zero, that numerator, the component which is above the portion line, must equal zero.Now,to remove the denominator, Tiger multiplys both political parties of the equation through the denominator.Here"s how:

x-9 ——— • 30 = 0 • 30 30 Now, ~ above the left hand side, the 30 cancels out the denominator, while, on the appropriate hand side, zero times anything is quiet zero.The equation now takes the shape:x-9=0

Solving a single Variable Equation:4.2Solve:x-9 = 0Add 9 to both political parties of the equation:x = 9