Question

Subtract the sum of 13 1/2 and 60 1/2 from the sum of 15 1/2 and 6 3/4

Answer 1

To calculate the subtraction as described, follow these steps:

Step 1: Find the sum of 13 1/2 and 60 1/2.

Sum = 13 1/2 + 60 1/2 = 74

Step 2: Find the sum of 15 1/2 and 6 3/4.

Sum = 15 1/2 + 6 3/4 = 22 1/4

Step 3: Subtract the sum from Step 1 from the sum in Step 2.

Difference = 22 1/4 - 74

Now, we need to perform the subtraction. To do this, let's express 74 as an improper fraction so that we can perform the subtraction with like terms:

74 = 74/1

Now, subtract the fractions:

Difference = 22 1/4 - 74/1

To subtract fractions, you need to have a common denominator. The common denominator for 4 and 1 is 4. So, let's convert 74/1 to have a denominator of 4:

74/1 = 74/1 * 4/4 = 296/4

Now, the subtraction becomes:

Difference = 22 1/4 - 296/4

To subtract the fractions, the whole numbers must be converted to fractions with a denominator of 4:

22 = 22/1 * 4/4 = 88/4

Now, the subtraction becomes:

Difference = 88/4 - 296/4

Now, you can subtract the fractions:

Difference = (88 - 296)/4

Difference = -208/4

Finally, simplify the fraction:

Difference = -52

So, the result of subtracting the sum of 13 1/2 and 60 1/2 from the sum of 15 1/2 and 6 3/4 is -52.

Answer 2

First, write the equation down:

`(13(1)/(2) +60(1)/(2) ) - (15(1)/(2) +6(3)/(4))` = ?

To solve, convert these mixed fractions into whole fractions. To do this, multiply the whole number outside the fraction by the denominator, then add that product to the value in the numerator.

Ex:
`13(1)/(2)` = 13 × 2 = 26 + 1=
`(27)/(2)`

Rewrite your equation with the converted the fractions:

`((27)/(2) + (121)/(2) ) - ((31)/(2) + (27)/(4) )`

To add fractions, ensure that the denominators are the same number.

Use the common denominator theory and multiply the denominator and numerator in
`\frac{31}2}` by 2 to have the same denominators for the expression:
`(31)/(2) - (27)/(4)`

Now your equation should look like:
`((27)/(2) + (121)/(2) ) - ((62)/(4) + (27)/(4) )` = ?

Solve the equations within the parenthesis:

`((27)/(2) + (121)/(2) ) = (148)/(2)`

`((62)/(4) + (27)/(4) )= (89)/(4)`

Now you are left with:
`(148)/(2) - (89)/(4)` =?

Use the common denominator theory again and multiply the denominator and numerator of
`(148)/(2)` by 2 to get
`(296)/(4)`

Rewrite your equation:
`(296)/(4) - (89)/(4)` = ?

Now that your denominators are the same value, subtract the values in the numerator: 296 - 89 = 207

Your answer is
`(207)/(4)` or
`51(3)/(4)`