Question

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

Answer 1

Answer:

2 22/25

Step-by-step explanation:

$3\frac{3}{1} / 1\frac{17}{8}$   Simplify 3 3/1. 3/1 = 3.

$=3*3 / 1\frac{17}{8}$   Multiply 3*3=9

$=9 / 1\frac{17}{8}$   Convert 1 17/8 to improper fraction.

$=9 / \frac{(1*8)+17}{8}$   Multiply the whole number by the base, Add to numerator.

$=9 / \frac{25}{8}$   Writing "9" as 9/1, fraction form, is easier to see.

$=\frac{9}{1} / \frac{25}{8}$   Flip the fraction on the right. It becomes multiplication.

$=\frac{9}{1} X \frac{8}{25}$   Multiply both numerators them both denominators.

$=\frac{9*8}{1*25}$   Multiply. I combined the fractions for you to see.

$=\frac{72}{25}$   Answer as an improper fraction

$=2\frac{22}{25}$   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.