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Divide the numerator by the denominator.

Mathematics

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Answers

3 parts
a

1381\frac{3}{8}

b

3193\frac{1}{9}

c

1131\frac{1}{3}

Step-by-step solution

7 steps

Here are the solutions for converting improper fractions to mixed numbers:

Part a· 2 steps

Convert 118\frac{11}{8} to a mixed number.

  1. Divide the numerator by the denominator.

    11÷8=1 with a remainder of 311 \div 8 = 1 \text{ with a remainder of } 3

  2. Write the mixed number using the quotient as the whole number, the remainder as the new numerator, and the original denominator.

    118=138\frac{11}{8} = 1\frac{3}{8}

    The final answer is 138\boxed{1\frac{3}{8}}.

Part b

3193\frac{1}{9}

Convert 289\frac{28}{9} to a mixed number.

  1. Divide the numerator by the denominator.

    28÷9=3 with a remainder of 128 \div 9 = 3 \text{ with a remainder of } 1

  2. Write the mixed number using the quotient as the whole number, the remainder as the new numerator, and the original denominator.

    289=319\frac{28}{9} = 3\frac{1}{9}

    The final answer is 319\boxed{3\frac{1}{9}}.

Part c

1131\frac{1}{3}

Convert 129\frac{12}{9} to a mixed number.

  1. Divide the numerator by the denominator.

    12÷9=1 with a remainder of 312 \div 9 = 1 \text{ with a remainder of } 3

  2. Write the mixed number using the quotient as the whole number, the remainder as the new numerator, and the original denominator.

    129=139\frac{12}{9} = 1\frac{3}{9}

  3. Simplify the fractional part.

    Both 3 and 9 are divisible by 3.

    39=3÷39÷3=13\frac{3}{9} = \frac{3 \div 3}{9 \div 3} = \frac{1}{3}

    So, the simplified mixed number is:

    139=1131\frac{3}{9} = 1\frac{1}{3}

    The final answer is 113\boxed{1\frac{1}{3}}.

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