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Identify the fraction of shaded parts to obtain equivalent fractions.

Mathematics

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Answers

3 parts
a

1866\frac{18}{66}

b

1819\frac{18}{19}

c

1834\frac{18}{34}

Step-by-step solution

6 steps

Part a· 2 steps

Convert 311\frac{3}{11} to a fraction with numerator 18.

  1. Determine the factor needed to change the numerator from 3 to 18.

    18÷3=618 \div 3 = 6

  2. Multiply both the numerator and the denominator by this factor.

    311=3×611×6=1866\frac{3}{11} = \frac{3 \times 6}{11 \times 6} = \frac{18}{66}

    The equivalent fraction is 1866\boxed{\frac{18}{66}}.

Part b

1819\frac{18}{19}

Convert 3638\frac{36}{38} to a fraction with numerator 18.

  1. Determine the factor needed to change the numerator from 36 to 18.

    36÷18=236 \div 18 = 2

  2. Divide both the numerator and the denominator by this factor.

    3638=36÷238÷2=1819\frac{36}{38} = \frac{36 \div 2}{38 \div 2} = \frac{18}{19}

    The equivalent fraction is 1819\boxed{\frac{18}{19}}.

Part c

1834\frac{18}{34}

Convert 917\frac{9}{17} to a fraction with numerator 18.

  1. Determine the factor needed to change the numerator from 9 to 18.

    18÷9=218 \div 9 = 2

  2. Multiply both the numerator and the denominator by this factor.

    917=9×217×2=1834\frac{9}{17} = \frac{9 \times 2}{17 \times 2} = \frac{18}{34}

    The equivalent fraction is 1834\boxed{\frac{18}{34}}.

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