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.

Answer

2 13/16
Answer for screen readers

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

More Information

Division of mixed numbers often requires converting between mixed numbers and improper fractions. These concepts lay foundational work for more advanced arithmetic operations.

Tips

A common mistake is forgetting to convert the mixed number to an improper fraction before performing operations, or not correctly converting the final improper fraction back to a mixed number.

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