explain 1/2-1/19 — step-by-step solution

Let's calculate:

\frac{1}{2} - \frac{1}{19}

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

\frac{1 \times 19 - 1 \times 2}{2 \times 19}

ⓘMultiplications are done before additions and subtractions:

-1 \times 2

-2

‖

2 \times 19

(10 + 9) \times 2

10 \times 2 + 9 \times 2

20 + 18

38

ℹ

1 \times 19

19

\frac{19 - 2}{38}

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

19 - 2

17

▶Result:

\frac{17}{38}

The numeric value of:

\frac{17}{38}

equals:

▷

\approx 0.4474