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Subtract 4m 75cm from 10m 50cm. For each of the following fractions, list other fractions which are equal: a) 4/7

Mathematics

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4 parts
5

5m 75cm\text{5m 75cm}

a

814,1221\frac{8}{14}, \frac{12}{21}

b

222,333\frac{2}{22}, \frac{3}{33}

c

418,627\frac{4}{18}, \frac{6}{27}

Step-by-step solution

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Part 5· 3 steps

Subtract 4m 75cm4 \text{m } 75 \text{cm} from 10m 50cm10 \text{m } 50 \text{cm}.

  1. Write the subtraction problem, aligning meters and centimeters.

    10m 50cm−4m 75cm\begin{array}{c} 10 \text{m } 50 \text{cm} \\ - \quad 4 \text{m } 75 \text{cm} \\ \hline \end{array}
  2. Since 50 cm50 \text{ cm} is less than 75 cm75 \text{ cm}, borrow 1m1 \text{m} from 10m10 \text{m}.

    1m=100 cm1 \text{m} = 100 \text{ cm}.
    The 10m10 \text{m} becomes 9m9 \text{m}, and 50 cm50 \text{ cm} becomes 50 cm+100 cm=150 cm50 \text{ cm} + 100 \text{ cm} = 150 \text{ cm}.

    9m 150cm−4m 75cm\begin{array}{c} 9 \text{m } 150 \text{cm} \\ - \quad 4 \text{m } 75 \text{cm} \\ \hline \end{array}
  3. Subtract the centimeters and then the meters.

    150 cm−75 cm=75 cm150 \text{ cm} - 75 \text{ cm} = 75 \text{ cm}
    9m−4m=5m9 \text{m} - 4 \text{m} = 5 \text{m}

    9m 150cm−4m 75cm5m 75cm\begin{array}{c} 9 \text{m } 150 \text{cm} \\ - \quad 4 \text{m } 75 \text{cm} \\ \hline 5 \text{m } 75 \text{cm} \end{array}

    The result is 5m 75cm\boxed{\text{5m 75cm}}.

Part 1

For each of the following fractions, list other fractions which are equal.

To find equivalent fractions, multiply both the numerator and the denominator by the same non-zero integer.

Part a

814,1221\frac{8}{14}, \frac{12}{21}

47\frac{4}{7}

  1. Multiply the numerator and denominator by 2.

    4×27×2=814\frac{4 \times 2}{7 \times 2} = \frac{8}{14}
  2. Multiply the numerator and denominator by 3.

    4×37×3=1221\frac{4 \times 3}{7 \times 3} = \frac{12}{21}

    Two equivalent fractions are 814,1221\boxed{\frac{8}{14}, \frac{12}{21}}.

Part b

222,333\frac{2}{22}, \frac{3}{33}

111\frac{1}{11}

  1. Multiply the numerator and denominator by 2.

    1×211×2=222\frac{1 \times 2}{11 \times 2} = \frac{2}{22}
  2. Multiply the numerator and denominator by 3.

    1×311×3=333\frac{1 \times 3}{11 \times 3} = \frac{3}{33}

    Two equivalent fractions are 222,333\boxed{\frac{2}{22}, \frac{3}{33}}.

Part c

418,627\frac{4}{18}, \frac{6}{27}

29\frac{2}{9}

  1. Multiply the numerator and denominator by 2.

    2×29×2=418\frac{2 \times 2}{9 \times 2} = \frac{4}{18}
  2. Multiply the numerator and denominator by 3.

    2×39×3=627\frac{2 \times 3}{9 \times 3} = \frac{6}{27}

    Two equivalent fractions are 418,627\boxed{\frac{4}{18}, \frac{6}{27}}.

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