explain 7/17-1/3 — step-by-step solution

Let's evaluate:

\frac{7}{17} - \frac{1}{3}

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

\frac{7 \times 3 - 1 \times 17}{17 \times 3}

ⓘMultiplications are done before additions and subtractions:

7 \times 3

21

‖

-1 \times 17

(10 + 7) \times -1

10 \times -1 + 7 \times -1

- 10 - 7

-17

‖

17 \times 3

(10 + 7) \times 3

10 \times 3 + 7 \times 3

30 + 21

51

\frac{21 - 17}{51}

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

21 - 17

4

▶Result:

\frac{4}{51}

The numeric value of:

\frac{4}{51}

is:

▷

\approx 7.8431 \times 10^{- 2}