x/40=7/10

This deals with adding, subtracting and finding the least common multiple.




You are watching: What is 7/10 of 40

Step by step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the best of the equal sign from both sides of the equation : x/40-(7/10)=0

Step by action solution :

Step 1 :

7 simplify —— 10Equation in ~ the finish of action 1 : x 7 —— - —— = 0 40 10

Step 2 :

x simplify —— 40Equation at the finish of action 2 : x 7 —— - —— = 0 40 10

Step 3 :

Calculating the Least typical Multiple :3.1 find the Least common Multiple The left denominator is : 40 The right denominator is : 10

Number of times every prime factorappears in the administrate of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2313
5111
Product of allPrime Factors401040

Least typical Multiple: 40

Calculating multiplier :

3.2 calculate multipliers because that the 2 fractions signify the Least common Multiple by L.C.M denote the Left Multiplier by Left_M signify the ideal Multiplier through Right_M denote the Left Deniminator through L_Deno represent the best Multiplier by R_DenoLeft_M=L.C.M/L_Deno=1Right_M=L.C.M/R_Deno=4

Making indistinguishable Fractions :

3.3 Rewrite the 2 fractions into indistinguishable fractionsTwo fractions are referred to as equivalent if they have actually the exact same numeric value. For instance : 1/2 and also 2/4 are equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are tantamount as well. To calculate equivalent fraction , main point the numerator of each fraction, by its particular Multiplier.

L. Mult. • L. Num. X —————————————————— = —— L.C.M 40 R. Mult. • R.

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Num. 7 • 4 —————————————————— = ————— L.C.M 40 adding fractions that have actually a common denominator :3.4 adding up the two tantamount fractions include the two equivalent fractions i m sorry now have a usual denominatorCombine the numerators together, put the sum or difference over the typical denominator then alleviate to lowest terms if possible:

x - (7 • 4) x - 28 ——————————— = —————— 40 40 Equation in ~ the finish of action 3 : x - 28 —————— = 0 40

Step 4 :

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

x-28 ———— • 40 = 0 • 40 40 Now, on the left hand side, the 40 cancels out the denominator, while, ~ above the best hand side, zero time anything is quiet zero.The equation currently takes the shape:x-28=0

Solving a solitary Variable Equation:4.2Solve:x-28 = 0Add 28 come both political parties of the equation:x = 28