1 2/9 + 13 7/8 + 20 3/8

⚠ 1 2/9 is read as the mixed number 1 + 2/9■13 7/8 is read as the mixed number 13 + 7/8■20 3/8 is read as the mixed number 20 + 3/8

Let's evaluate:

1

+ \frac{2}{9}

+ 13

+ \frac{7}{8}

+ 20

+ \frac{3}{8}

ⓘ Start from

1

and move forward

13

on the number line:

1 + 13

14

■Add fractions by using a common denominator and then adding their numerators:

\frac{7}{8} + \frac{3}{8}

\frac{7 + 3}{8}

14

+ \frac{2}{9}

+ \frac{7 + 3}{8}

+ 20

ⓘ Calculate the numerator and denominator before dividing:

7 + 3

10

14

+ \frac{2}{9}

+ \frac{10}{8}

+ 20

ⓘ Start from

14

and move forward

20

on the number line:

14 + 20

34

■We simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{10}{8}

\frac{5 \times 2}{4 \times 2}

\frac{5}{4}

34 + \frac{2}{9} + \frac{5}{4}

ⓘ Add fractions by using a common denominator and then adding their numerators. We choose

36

, the least common multiple of

9

and

4

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

\frac{2}{9} + \frac{5}{4}

\frac{2 \times 4}{9 \times 4} + \frac{5 \times 9}{4 \times 9}

\frac{2 \times 4 + 5 \times 9}{9 \times 4}

34 + \frac{2 \times 4 + 5 \times 9}{9 \times 4}

ⓘ Multiplications are done before additions and subtractions:

2 \times 4

8

5 \times 9

45

ⅰ

9 \times 4

36

34 + \frac{8 + 45}{36}

ⓘ Calculate the numerator and denominator before dividing:

8 + 45

53

34 + \frac{53}{36}

▶Result:

35

\frac{17}{36}

ⓘ The fraction

\frac{53}{36}

is greater than 1: extract

1

from it and add it to the whole part:

34 + \frac{53}{36}

34 + \frac{36 + 17}{36}

34 + \frac{36}{36} + \frac{17}{36}

34 + 1 + \frac{17}{36}

35 + \frac{17}{36}

The numeric value of:

35 + \frac{17}{36}

equals:

35 + \approx 0.4722

▷

\approx 35.4722

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