explain 9/10-1/18 — step-by-step solution

Let's calculate:

\frac{9}{10} - \frac{1}{18}

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

\frac{9 \times 9 - 1 \times 5}{10 \times 9}

ⓘMultiplications are done before additions and subtractions:

9 \times 9

81

ℹ

-1 \times 5

-5

‖

10 \times 9

90

\frac{81 - 5}{90}

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

81 - 5

76

\frac{76}{90}

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

2

\frac{76}{90}

\frac{38 \times 2}{45 \times 2}

\frac{38}{45}

▶Result:

\frac{38}{45}

The approximate value of:

\frac{38}{45}

is:

▷

\approx 0.8444