### 1/4:500=x:1000

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

You are watching: What is 1/4 of 1000

## Step by step Solution

## Step by action solution :

## Step 1 :

x leveling ———— 1000Equation at the finish of step 1 : 1 x — ÷ 500 - ———— = 0 4 1000

## Step 2 :

1 simplify — 4Equation in ~ the end of step 2 : 1 x — ÷ 500 - ———— = 0 4 1000## Step 3 :

1 division — by 500 4 Equation in ~ the end of step 3 : 1 x ———— - ———— = 0 2000 1000## Step 4 :

Calculating the Least typical Multiple :4.1 uncover the Least common Multiple The left denominator is : 2000 The ideal denominator is : 1000Number of times every prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right2 | 4 | 3 | 4 |

5 | 3 | 3 | 3 |

Product the allPrime Factors | 2000 | 1000 | 2000 |

Least typical Multiple: 2000

Calculating multipliers :4.2 calculation multipliers because that the two fractions represent the Least usual Multiple through L.C.M represent the Left Multiplier by Left_M represent the appropriate Multiplier through Right_M represent the Left Deniminator by L_Deno signify the ideal Multiplier by R_DenoLeft_M=L.C.M/L_Deno=1Right_M=L.C.M/R_Deno=2

Making equivalent Fractions :4.3 Rewrite the two fractions into identical fractionsTwo fountain are referred to as equivalent if they have the very same numeric value. For example : 1/2 and 2/4 space equivalent, y/(y+1)2 and also (y2+y)/(y+1)3 are tantamount as well. To calculate equivalent portion , multiply the molecule of every fraction, by its particular Multiplier.

L. Mult. • L. Num. 1 —————————————————— = ———— L.C.M 2000 R. Mult. • R.

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Num. X • 2 —————————————————— = ————— L.C.M 2000 including fractions that have a typical denominator :4.4 including up the two identical fractions include the two equivalent fractions which now have actually a common denominatorCombine the molecule together, placed the sum or difference over the common denominator then alleviate to lowest state if possible:

1 - (x • 2) 1 - 2x ——————————— = —————— 2000 2000 Equation in ~ the end of action 4 : 1 - 2x —————— = 0 2000

## Step 5 :

When a fraction equals zero :5.1 once a fraction equals zero ...Where a fraction equals zero, that is numerator, the part which is over the fraction line, have to equal zero.Now,to remove the denominator, Tiger multiplys both political parties of the equation by the denominator.Here"s how:1-2x ———— • 2000 = 0 • 2000 2000Now, top top the left hand side, the 2000 cancels the end the denominator, while, ~ above the appropriate hand side, zero times anything is still zero.The equation now takes the shape:1-2x=0

Solving a single Variable Equation:5.2Solve:-2x+1 = 0Subtract 1 from both political parties of the equation:-2x = -1 main point both political parties of the equation by (-1) : 2x = 1 division both sides of the equation through 2:x = 1/2 = 0.500