Question

How do i figure out 9 1/6 - 8 5/6
and 10 3/4 - 6 4/4?

Answer 1

1)
`9(1)/(6)-8(5)/(6)=(1)/(3)`

2)
`10(3)/(4)-6(4)/(4)=3(3)/(4)`

Explanation:

You can convert he mixed numbers to improper fractions:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained to the numerator.

3. The denominator does not change.

Then:

`9(1)/(6)=(54+1)/(6)=(55)/(6)\\\\8(5)/(6)=(48+5)/(6)=(53)/(6)\\\\10(3)/(4)=(40+3)/(4)=(43)/(4)\\\\6(4)/(4)=(24+4)/(4)=(28)/(4)`

Observe that, in each subtraction, the denominators are equal, then you can rewrite the denominator and subtract the numerators:

`1)\ (55)/(6)-(53)/(6)=(55-53)/(6)= (2)/(6)=(1)/(3) \\\\2)\ (43)/(4)-(28)/(4)=(43-28)/(4)= (15)/(4)`

Divide 15 by 4. The quotient will be 3 and the remainder 3.

Then:

`(15)/(4)=3(3)/(4)`