Question

¾ - (-⅞)= i need help please solve

Answer 1

1 5/8 or 13/8

Explanation:

Remove parentheses.

`(3)/(4)+(7)/(8)`

Find the Least Common Denominator (LCD) of
`(3)/(4),(7)/(8)` . In other words, find the Least Common Multiple (LCM) of 4,8.

Method 1: By Listing Multiples

List the multiples of each number.

Multiples of 4 : 4, 8, ...

Multiples of 8 : 8, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 8

Method 2: By Prime Factors

List the prime factors of each number

Prime Factors of 4 : 2, 2

Prime Factors of 8 : 2, 2, 2

Find the union of these primes.

2, 2, 2

Multiply these numbers: 2 * 2 * 2 = 8 ---> This is the LCM.

LCM = 8

---> LCD = 8

Make the denominators the same as the LCD.

`(3* 2)/(4* 2)+(7)/(8)`

Simplify. Denominators are now the same.

`(6)/(8)+(7)/(8)`

Join the denominators.

`(6+7)/(8)`

Simplify.

`(13)/(8)`

Convert to mixed fraction.

`1(5)/(8)`

Answer 2

1 5/8

Explanation:

3/4 - -7/8

3/4 + 7/8

6/8 + 7/8

13/8 = 1 5/8