# 5 5/8 divided by 2

#### Understand the Problem

The question is asking to divide a mixed number, 5 5/8, by 2. This involves converting the mixed number into an improper fraction and then performing the division.

2 13/16

The final answer is 2 13/16

#### Steps to Solve

1. Convert the mixed number to an improper fraction

To convert 5 5/8 to an improper fraction, first multiply the whole number part by the denominator and then add the numerator.

$$5 rac{5}{8} = rac{(5 imes 8) + 5}{8} = rac{40 + 5}{8} = rac{45}{8}$$

1. Rewrite the division as multiplication by the reciprocal

To divide by 2, you can multiply by the reciprocal of 2, which is 1/2.

$$rac{45}{8} \div 2 = rac{45}{8} \times rac{1}{2}$$

1. Multiply the fractions

Multiply the numerators and the denominators:

$$rac{45}{8} \times rac{1}{2} = rac{45 \times 1}{8 \times 2} = rac{45}{16}$$

1. Convert the result back to a mixed number (if necessary)

Since the result is an improper fraction, we can convert it back to a mixed number. Divide 45 by 16 to get the whole number part and the remainder:

$$45 \div 16 = 2 \ with \ a \ remainder \ of \ 13$$

So, $$rac{45}{16} = 2 \frac{13}{16}$$

The final answer is 2 13/16