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Subtract the given fractions: -13/6 from -5/6, and -5/11 from -11/11.

Mathematics

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2 parts
c

43\frac{4}{3}

f

−611\frac{-6}{11}

Step-by-step solution

7 steps

Here are the remaining parts for question 3:

Part c· 4 steps

Subtract −136\frac{-13}{6} from −56\frac{-5}{6}.

  1. Set up the subtraction.

    −56−(−136)\frac{-5}{6} - \left(\frac{-13}{6}\right)

  2. Simplify the expression by changing the double negative to an addition.

    −56+136\frac{-5}{6} + \frac{13}{6}

  3. Perform the addition since the denominators are already common.

    −5+136=86\frac{-5 + 13}{6} = \frac{8}{6}

  4. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, 2.

    8÷26÷2=43\frac{8 \div 2}{6 \div 2} = \frac{4}{3}

    The answer is 43\boxed{\frac{4}{3}}.

Part f

−611\frac{-6}{11}

Subtract −511\frac{-5}{11} from −1111\frac{-11}{11}.

  1. Set up the subtraction.

    −1111−(−511)\frac{-11}{11} - \left(\frac{-5}{11}\right)

  2. Simplify the expression by changing the double negative to an addition.

    −1111+511\frac{-11}{11} + \frac{5}{11}

  3. Perform the addition since the denominators are already common.

    −11+511=−611\frac{-11 + 5}{11} = \frac{-6}{11}

    The answer is −611\boxed{\frac{-6}{11}}.

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