explain 9/17-1/9 — step-by-step solution

Let's calculate:

\frac{9}{17} - \frac{1}{9}

ⓘTo add fractions, put them over the same denominator, then add the numerators

\frac{9 \times 9 - 1 \times 17}{17 \times 9}

ⓘMultiplications are done before additions and subtractions:

9 \times 9

81

‖

-1 \times 17

(10 + 7) \times -1

10 \times -1 + 7 \times -1

- 10 - 7

-17

‖

17 \times 9

(10 + 7) \times 9

10 \times 9 + 7 \times 9

90 + 63

153

\frac{81 - 17}{153}

ⓘThe numerator and the denominator are computed before the division:

81 - 17

64

▶Result:

\frac{64}{153}

The numeric value of:

\frac{64}{153}

equals:

▷

\approx 0.4183