2 1/4 + 1 5/8 + 23 1/9

⚠ 2 1/4 is read as the mixed number 2 + 1/4■1 5/8 is read as the mixed number 1 + 5/8■23 1/9 is read as the mixed number 23 + 1/9

Let's calculate:

2

+ \frac{1}{4}

+ 1

+ \frac{5}{8}

+ 23

+ \frac{1}{9}

ⓘ Start from

2

and move forward

1

on the number line:

2 + 1

3

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

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

\frac{2 + 5}{8}

3

+ \frac{2 + 5}{8}

+ 23

+ \frac{1}{9}

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

2 + 5

7

3

+ \frac{7}{8}

+ 23

+ \frac{1}{9}

ⓘ Start from

3

and move forward

23

on the number line:

3 + 23

26

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

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

72

, the least common multiple of

8

and

9

. Multiplying the numerator and the denominator by the same number does not change the fraction:

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

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

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

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

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

ⓘ Perform multiplications before additions and subtractions:

7 \times 9

63

ⅰ

8 \times 9

72

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

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

63 + 8

71

26 + \frac{71}{72}

▶Result:

26

\frac{71}{72}

The numeric value of:

26 + \frac{71}{72}

is:

26 + \approx 0.9861

▷

\approx 26.9861

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