x/40=7/10

This faces adding, subtracting and finding the least usual multiple.




You are watching: What is 7/10 of 40

Step by action Solution

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Rearrange:

Rearrange the equation by individually what is come the right of the equal sign from both sides of the equation : x/40-(7/10)=0

Step by action solution :

Step 1 :

7 simplify —— 10Equation at the end of action 1 : x 7 —— - —— = 0 40 10

Step 2 :

x simplify —— 40Equation in ~ the finish of step 2 : x 7 —— - —— = 0 40 10

Step 3 :

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

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

Least usual Multiple: 40

Calculating multiplier :

3.2 calculation multipliers because that the two fractions denote the Least usual Multiple by L.C.M denote the Left Multiplier through Left_M signify the best Multiplier by Right_M represent the Left Deniminator by L_Deno represent the right Multiplier by R_DenoLeft_M=L.C.M/L_Deno=1Right_M=L.C.M/R_Deno=4

Making identical Fractions :

3.3 Rewrite the two fractions into tantamount fractionsTwo fountain are dubbed equivalent if they have actually the exact same numeric value. For example : 1/2 and 2/4 space equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are indistinguishable as well. To calculate equivalent portion , main point the molecule of every fraction, by its respective 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 a typical denominator :3.4 adding up the two indistinguishable fractions include the two tantamount fractions i beg your pardon now have a common denominatorCombine the numerators together, placed the sum or distinction over the typical denominator then alleviate to lowest state if possible:

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

Step 4 :

When a portion equals zero :4.1 as soon as a fraction equals zero ...Where a portion equals zero, that is numerator, the part which is over the portion line, need to equal zero.Now,to eliminate the denominator, Tiger multiplys both sides of the equation by the denominator.Here"s how:

x-28 ———— • 40 = 0 • 40 40 Now, top top the left hand side, the 40 cancels the end the denominator, while, top top the ideal hand side, zero times anything is quiet zero.The equation currently takes the shape:x-28=0

Solving a solitary Variable Equation:4.2Solve:x-28 = 0Add 28 to both sides of the equation:x = 28