Question

Connor picked 8 1/6 pounds of apples. Louis picked 9 2/8 pounds of apples. How many more pounds of apples did Louis picked over Connor?

Answer 1

`1frac(1)(12)` pounds

See below

Explanation:

`9frac(2)(8)-8frac(1)(6)`

before you can subtract, the denominators must be equal. The LCM for 8 and 6 is 24.

`[9frac(2)(8)]*3/3-[8frac(1)(6)]*4/4" "rArr`

`9frac(6)(24)-8frac(4)(24)`

Now subtract `" "9-8=1 and frac(6)(24)-frac(4)(24)=frac(2)(24)`

reduce to get your answer `" "1frac(2)(24)=1frac(1)(12)`

Answer 2

`1 1/12` pounds

Explanation:

Given: Connor picked `8 1/6` pounds of apples, Louis picked `9 2/8` pounds of apples.

To find how many more pounds Louis picked, the fractions have to have the same denominator. We need to find the least common multiple (LCM) of `6` and `8`:

Multiples of `6: 6, 12, 18, 24, 28, ...`

Multiples of `8: 8, 16, 24, ...`

The LCM is `24`

Convert the fractions to `24`ths by multiplying by `1`:

`1/6 *4/4 = 4/24`

`2/8 * 3/3 = 6/24`

Subtract the integers from each other and subtract the fractions from each other:

`9 6/24 - 8 4/24 = 1 2/24`

Reduce the fraction by dividing the numerator and denominator by 2, which is the greatest common factor (GCF) between `2` & `24`:

`1 2/24 = 1 1/12`