explain 2 1/4 + 1 5/8 + 23 1/9 — step-by-step solution

⚠ 2 1/4 is read as the mixed number 2 + 1/4

⚠ 1 5/8 is read as the mixed number 1 + 5/8

Let's calculate:

2

+ \frac{1}{4}

+ 1

+ \frac{5}{8}

+ 23

+ \frac{1}{9}

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

\frac{1}{4} + \frac{5}{8}

\frac{2 + 5}{8}

ℹ

2 + 1

3

3

+ \frac{2 + 5}{8}

+ 23

+ \frac{1}{9}

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

2 + 5

7

ℹ

3 + 23

26

26 + \frac{7}{8} + \frac{1}{9}

ℹ

\frac{7}{8} + \frac{1}{9}

\frac{7 \times 9 + 1 \times 8}{8 \times 9}

26 + \frac{7 \times 9 + 1 \times 8}{8 \times 9}

ⓘMultiplications are done before additions and subtractions:

7 \times 9

63

ℹ

1 \times 8

8

‖

8 \times 9

72

26 + \frac{63 + 8}{72}

ℹ

63 + 8

71

26 + \frac{71}{72}

▶Result:

26

\frac{71}{72}

The numeric value of:

26 + \frac{71}{72}

equals:

26 + \approx 0.9861

▷

\approx 26.9861