### 3:7=x:56

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

You are watching: What is 3/7 of 56

## Step by action Solution

### Rearrange:

Rearrange the equation by subtracting what is come the ideal of the equal sign from both sides of the equation : 3/7-(x/56)=0## Step by step solution :

## Step 1 :

x simplify —— 56Equation at the finish of action 1 : 3 x — - —— = 0 7 56

## Step 2 :

3 leveling — 7Equation at the finish of step 2 : 3 x — - —— = 0 7 56## Step 3 :

Calculating the Least typical Multiple :3.1 uncover the Least typical Multiple The left denominator is : 7 The best denominator is : 56Number the times each prime factorappears in the administer of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right7 | 1 | 1 | 1 |

2 | 0 | 3 | 3 |

Product that allPrime Factors | 7 | 56 | 56 |

Least usual Multiple: 56

Calculating multiplier :3.2 calculate multipliers because that the two fractions represent the Least typical Multiple by L.C.M denote the Left Multiplier by Left_M denote the right Multiplier by Right_M represent the Left Deniminator by L_Deno signify the ideal Multiplier by R_DenoLeft_M=L.C.M/L_Deno=8Right_M=L.C.M/R_Deno=1

Making tantamount Fractions :3.3 Rewrite the 2 fractions into equivalent fractionsTwo fountain are referred to as equivalent if they have the same numeric value. For example : 1/2 and also 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are indistinguishable as well. To calculation equivalent fraction , main point the molecule of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 3 • 8 —————————————————— = ————— L.C.M 56 R. Mult. • R.

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Num. X —————————————————— = —— L.C.M 56Adding fractions that have a typical denominator :3.4 adding up the two identical fractions include the two indistinguishable fractions i m sorry now have a usual denominatorCombine the molecule together, put the amount or difference over the typical denominator then minimize to lowest state if possible:

3 • 8 - (x) 24 - x ——————————— = —————— 56 56 Equation in ~ the finish of step 3 : 24 - x —————— = 0 56

## Step 4 :

When a portion equals zero :4.1 once a fraction equals zero ...Where a portion equals zero, its numerator, the component which is above the portion line, have to equal zero.Now,to remove the denominator, Tiger multiplys both political parties of the equation by the denominator.Here"s how:24-x ———— • 56 = 0 • 56 56 Now, ~ above the left hand side, the 56 cancels out the denominator, while, ~ above the appropriate hand side, zero times anything is still zero.The equation currently takes the shape:24-x=0

Solving a solitary Variable Equation:4.2Solve:-x+24 = 0Subtract 24 from both political parties of the equation:-x = -24 main point both sides of the equation through (-1) : x = 24