2 1/3 + 5 1/20 + 6 1/4

⚠ 2 1/3 is read as the mixed number 2 + 1/3■5 1/20 is read as the mixed number 5 + 1/20■6 1/4 is read as the mixed number 6 + 1/4

Let's calculate:

2

+ \frac{1}{3}

+ 5

+ \frac{1}{20}

+ 6

+ \frac{1}{4}

ⓘ Start from

2

and move forward

5

on the number line:

2 + 5

7

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

\frac{1}{20} + \frac{1}{4}

\frac{1 + 5}{20}

7

+ \frac{1}{3}

+ \frac{1 + 5}{20}

+ 6

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

1 + 5

6

7

+ \frac{1}{3}

+ \frac{6}{20}

+ 6

ⓘ Start from

7

and move forward

6

on the number line:

7 + 6

13

■Simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{6}{20}

\frac{3 \times 2}{10 \times 2}

\frac{3}{10}

13 + \frac{1}{3} + \frac{3}{10}

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

30

, the least common multiple of

3

and

10

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

\frac{1}{3} + \frac{3}{10}

\frac{1 \times 10}{3 \times 10} + \frac{3 \times 3}{10 \times 3}

\frac{1 \times 10 + 3 \times 3}{3 \times 10}

\frac{10 + 3 \times 3}{3 \times 10}

13 + \frac{10 + 3 \times 3}{3 \times 10}

ⓘ Perform multiplications before additions and subtractions:

3 \times 3

9

ⅰ

3 \times 10

30

13 + \frac{10 + 9}{30}

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

10 + 9

19

13 + \frac{19}{30}

▶Result:

13

\frac{19}{30}

The numeric value of:

13 + \frac{19}{30}

is:

13 + \approx 0.6333

▷

\approx 13.6333

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