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Divide the numerator (8) by the denominator (3).

Mathematics

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Answers

2 parts
a

223\mathbf{2\frac{2}{3}}

b

57\mathbf{\frac{5}{7}}

Step-by-step solution

4 steps

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

Part a· 2 steps

83\frac{8}{3}

  1. Divide the numerator (8) by the denominator (3).

    8÷3=2 with a remainder of 28 \div 3 = 2 \text{ with a remainder of } 2

    The whole number part is 2. The remainder is 2. The original denominator is 3.

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

    83=223\frac{8}{3} = 2\frac{2}{3}

    The mixed number is 223\boxed{\mathbf{2\frac{2}{3}}}.

Part b

57\mathbf{\frac{5}{7}}

57\frac{5}{7}

  1. Compare the numerator (5) and the denominator (7).

    Since the numerator (5) is less than the denominator (7), this is a proper fraction.

  2. Explain why it cannot be converted to a mixed number with a non-zero whole part.

    Proper fractions cannot be converted into a mixed number with a whole number part greater than zero. It is already in its simplest fractional form.
    The fraction is 57\boxed{\mathbf{\frac{5}{7}}}.

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