explain 2 1/3 + 5 1/20 + 6 1/4 — step-by-step solution

⚠ 2 1/3 is read as the mixed number 2 + 1/3

⚠ 5 1/20 is read as the mixed number 5 + 1/20

Let's evaluate:

2

+ \frac{1}{3}

+ 5

+ \frac{1}{20}

+ 6

+ \frac{1}{4}

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

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

\frac{1 + 5}{20}

ℹ

2 + 5

7

7

+ \frac{1}{3}

+ \frac{1 + 5}{20}

+ 6

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

1 + 5

6

ℹ

7 + 6

13

13 + \frac{1}{3} + \frac{6}{20}

ℹ

\frac{1}{3} + \frac{6}{20}

\frac{1 \times 20 + 6 \times 3}{3 \times 20}

13 + \frac{1 \times 20 + 6 \times 3}{3 \times 20}

ⓘMultiplications are done before additions and subtractions:

6 \times 3

18

ℹ

1 \times 20

20

‖

3 \times 20

60

13 + \frac{20 + 18}{60}

ℹ

20 + 18

38

13 + \frac{38}{60}

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

2

\frac{38}{60}

\frac{19 \times 2}{30 \times 2}

\frac{19}{30}

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