3/4=x/60

This encounters adding, subtracting and also finding the least usual multiple.




You are watching: What is 3/4 of 60

Step by step Solution

*

Rearrange:

Rearrange the equation by subtracting what is to the appropriate of the equal sign from both sides of the equation : 3/4-(x/60)=0

Step by action solution :

Step 1 :

x leveling —— 60Equation at the end of action 1 : 3 x — - —— = 0 4 60

Step 2 :

3 simplify — 4Equation at the end of action 2 : 3 x — - —— = 0 4 60

Step 3 :

Calculating the Least typical Multiple :3.1 uncover the Least typical Multiple The left denominator is : 4 The ideal denominator is : 60

Number the times every prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
2222
3011
5011
Product that allPrime Factors46060

Least typical Multiple: 60

Calculating multipliers :

3.2 calculate multipliers for the 2 fractions signify the Least usual Multiple through L.C.M represent the Left Multiplier by Left_M signify the right Multiplier by Right_M signify the Left Deniminator by L_Deno represent the right Multiplier through R_DenoLeft_M=L.C.M/L_Deno=15Right_M=L.C.M/R_Deno=1

Making indistinguishable Fractions :

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

L. Mult. • L. Num. 3 • 15 —————————————————— = —————— L.C.M 60 R. Mult. • R.

See more: Probability Of Rolling Two Dice And Getting A Sum Of 7 Or 11

Num. X —————————————————— = —— L.C.M 60Adding fractions that have a usual denominator :3.4 including up the two equivalent fractions add the two equivalent fractions which now have a usual denominatorCombine the numerators together, put the amount or difference over the common denominator then reduce to lowest terms if possible:

3 • 15 - (x) 45 - x ———————————— = —————— 60 60 Equation at the end of action 3 : 45 - x —————— = 0 60

Step 4 :

When a fraction equals zero :4.1 once a fraction equals zero ...Where a fraction equals zero, the numerator, the component which is over the fraction line, need to equal zero.Now,to eliminate the denominator, Tiger multiplys both sides of the equation through the denominator.Here"s how:

45-x ———— • 60 = 0 • 60 60 Now, ~ above the left hand side, the 60 cancels out the denominator, while, ~ above the right hand side, zero times anything is still zero.The equation now takes the shape:45-x=0

Solving a single Variable Equation:4.2Solve:-x+45 = 0Subtract 45 native both political parties of the equation:-x = -45 multiply both sides of the equation by (-1) : x = 45