explain 11/18-3/10 — step-by-step solution

Let's evaluate:

\frac{11}{18} - \frac{3}{10}

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

\frac{11 \times 5 - 3 \times 9}{18 \times 5}

ⓘMultiplications are done before additions and subtractions:

11 \times 5

(10 + 1) \times 5

10 \times 5 + 5

50 + 5

55

‖

18 \times 5

(10 + 8) \times 5

10 \times 5 + 8 \times 5

50 + 40

90

ℹ

-3 \times 9

-27

\frac{55 - 27}{90}

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

55 - 27

28

\frac{28}{90}

ⓘWe simplify the fraction by dividing the numerator and the denominator by the number

2

\frac{28}{90}

\frac{14 \times 2}{45 \times 2}

\frac{14}{45}

▶Result:

\frac{14}{45}

The numeric value of:

\frac{14}{45}

equals:

▷

\approx 0.3111