explain 7 7/20 + 10 5/6 + 22 13/20 — step-by-step solution

⚠ 7 7/20 is read as the mixed number 7 + 7/20

⚠ 10 5/6 is read as the mixed number 10 + 5/6

Let's calculate:

7

+ \frac{7}{20}

+ 10

+ \frac{5}{6}

+ 22

+ \frac{13}{20}

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

\frac{7}{20} + \frac{13}{20}

\frac{7 + 13}{20}

ℹ

7 + 10

17

17

+ \frac{7 + 13}{20}

+ \frac{5}{6}

+ 22

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

7 + 13

20

ℹ

17 + 22

39

39 + \frac{20}{20} + \frac{5}{6}

ℹ

\frac{20}{20} + \frac{5}{6}

\frac{20 \times 3 + 5 \times 10}{20 \times 3}

39 + \frac{20 \times 3 + 5 \times 10}{20 \times 3}

ⓘMultiplications are done before additions and subtractions:

20 \times 3

60

ℹ

5 \times 10

50

‖

20 \times 3

60

39 + \frac{60 + 50}{60}

ℹ

60 + 50

110

39 + \frac{110}{60}

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

10

\frac{110}{60}

\frac{11 \times 10}{6 \times 10}

\frac{11}{6}

39 + \frac{11}{6}

ⓘThe fraction

\frac{11}{6}

is greater than 1: add its integer part

1

to the whole part:

\frac{11}{6} + 39

40 + \frac{5}{6}

▶Result:

40

\frac{5}{6}

The approximate value of:

40 + \frac{5}{6}

is:

40 + \approx 0.8333

▷

\approx 40.8333