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Add the following rational numbers: (i) -3/5 and -13/7 (ii) 6/7 and -4/5

Mathematics

ScanSolve AI Answer

Step-by-step solution

5 steps
  1. Write the subtraction expression.

    To subtract −56\frac{-5}{6} from 13\frac{1}{3}, we write the expression as:

    13−(−56)\frac{1}{3} - \left(\frac{-5}{6}\right)

    This simplifies to:

    13+56\frac{1}{3} + \frac{5}{6}
  2. Find a common denominator for the fractions.

    The denominators are 3 and 6. The least common multiple (LCM) of 3 and 6 is 6.

  3. Convert the fractions to equivalent fractions with the common denominator.

    For the first fraction, 13\frac{1}{3}:

    13=1×23×2=26\frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6}

    The second fraction, 56\frac{5}{6}, already has the common denominator.

  4. Perform the addition with the equivalent fractions.

    26+56=2+56\frac{2}{6} + \frac{5}{6} = \frac{2 + 5}{6}
  5. Simplify the result.

    2+56=76\frac{2 + 5}{6} = \frac{7}{6}

    The result is already in its simplest form.

    The final answer is 76\boxed{\frac{7}{6}}.
    2 हो गए। आज 3 बाकी — अगला भेजो।

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