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Divide the numerator (28) by the denominator (8).

Mathematics

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2 parts
c

312\mathbf{3\frac{1}{2}}

d

335\mathbf{3\frac{3}{5}}

Step-by-step solution

6 steps

Here's how to convert the fractions to mixed numbers:

Part c· 3 steps

288\frac{28}{8}

  1. Divide the numerator (28) by the denominator (8).

    28÷8=3 with a remainder of 428 \div 8 = 3 \text{ with a remainder of } 4

    The whole number part is 3. The remainder is 4. The original denominator is 8.

  2. Write the mixed number using the whole number, remainder, and original denominator.

    3483\frac{4}{8}
  3. Simplify the fractional part of the mixed number.

    Both 4 and 8 are divisible by 4.

    48=4÷48÷4=12\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2}

    The mixed number is 312\boxed{\mathbf{3\frac{1}{2}}}.

Part d

335\mathbf{3\frac{3}{5}}

3610\frac{36}{10}

  1. Divide the numerator (36) by the denominator (10).

    36÷10=3 with a remainder of 636 \div 10 = 3 \text{ with a remainder of } 6

    The whole number part is 3. The remainder is 6. The original denominator is 10.

  2. Write the mixed number using the whole number, remainder, and original denominator.

    36103\frac{6}{10}
  3. Simplify the fractional part of the mixed number.

    Both 6 and 10 are divisible by 2.

    610=6÷210÷2=35\frac{6}{10} = \frac{6 \div 2}{10 \div 2} = \frac{3}{5}

    The mixed number is 335\boxed{\mathbf{3\frac{3}{5}}}.

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