Question

What is the value of 3 3/1 divided by 1 17/8 in simplest form

Answer 1

2 22/25

Explanation:

`3(3)/(1) / 1(17)/(8)` Simplify 3 3/1. 3/1 = 3.

`=3*3 / 1(17)/(8)` Multiply 3*3=9

`=9 / 1(17)/(8)` Convert 1 17/8 to improper fraction.

`=9 / ((1*8)+17)/(8)` Multiply the whole number by the base, Add to numerator.

`=9 / (25)/(8)` Writing "9" as 9/1, fraction form, is easier to see.

`=(9)/(1) / (25)/(8)` Flip the fraction on the right. It becomes multiplication.

`=(9)/(1) X (8)/(25)` Multiply both numerators them both denominators.

`=(9*8)/(1*25)` Multiply. I combined the fractions for you to see.

`=(72)/(25)` Answer as an improper fraction

`=2(22)/(25)` Answer as a mixed number.

How to convert improper fraction to mixed number:

72/25 = 2 22/25

72 can divide by 25 only 2 times, and with a remainder 22.

The number of times 72 can divide by becomes the whole number. The remainder becomes the numerator in the fraction. Keep the same denominator.