What is 1 2/7+(-3 4/7) ?

The solution to 1 2/7+(-3 4/7) is -2 2/7

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simplify 1 2/7+(-3 4/7)

simplify

1 \frac{2}{7} + (- 3 \frac{4}{7})

- 2 \frac{2}{7}

Decimal Notation

- 2.28571 \dots

Solution steps

1 \frac{2}{7} + (- 3 \frac{4}{7})

Convert mixed numbers to improper fractions:

1 \frac{2}{7} = \frac{9}{7}

= \frac{9}{7} + (- 3 \frac{4}{7})

Convert mixed numbers to improper fractions:

3 \frac{4}{7} = \frac{25}{7}

= \frac{9}{7} + (- \frac{25}{7})

Apply rule:

a + (- b) = a - b

\frac{9}{7} + (- \frac{25}{7}) = \frac{9}{7} - \frac{25}{7}

= \frac{9}{7} - \frac{25}{7}

\frac{9}{7} - \frac{25}{7} = - \frac{16}{7}

= - \frac{16}{7}

Convert improper fractions to mixed numbers:

\frac{16}{7} = 2 \frac{2}{7}

= - 2 \frac{2}{7}

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