explain 6 19/20 + 10 5/7 + 10 5/6 — step-by-step solution

⚠ 6 19/20 is read as the mixed number 6 + 19/20

⚠ 10 5/7 is read as the mixed number 10 + 5/7

Let's calculate:

6

+ \frac{19}{20}

+ 10

+ \frac{5}{7}

+ 10

+ \frac{5}{6}

ℹ

6 + 10

16

16

+ \frac{19}{20}

+ \frac{5}{7}

+ 10

+ \frac{5}{6}

ℹ

16 + 10

26

26

+ \frac{19}{20}

+ \frac{5}{7}

+ \frac{5}{6}

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

\frac{19}{20} + \frac{5}{7}

\frac{19 \times 7 + 5 \times 20}{20 \times 7}

26 + \frac{19 \times 7 + 5 \times 20}{20 \times 7} + \frac{5}{6}

ⓘMultiplications are done before additions and subtractions:

19 \times 7

(10 + 9) \times 7

10 \times 7 + 9 \times 7

70 + 63

133

ℹ

5 \times 20

100

‖

20 \times 7

140

26 + \frac{133 + 100}{140} + \frac{5}{6}

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

133 + 100

233

26 + \frac{233}{140} + \frac{5}{6}

ℹ

\frac{233}{140} + \frac{5}{6}

\frac{233 \times 3 + 5 \times 70}{140 \times 3}

26 + \frac{233 \times 3 + 5 \times 70}{140 \times 3}

ⓘ

233 \times 3

(200 + 30 + 3) \times 3

200 \times 3 + 30 \times 3 + 3 \times 3

600 + 90 + 9

699

‖

140 \times 3

(100 + 40) \times 3

100 \times 3 + 40 \times 3

300 + 120

420

ℹ

5 \times 70

350

26 + \frac{699 + 350}{420}

ℹ

699 + 350

1049

26 + \frac{1049}{420}

ⓘThe fraction

\frac{1049}{420}

is greater than 1: add its integer part

2

to the whole part:

\frac{1049}{420} + 26

28 + \frac{209}{420}

▶Result:

28

\frac{209}{420}

The approximate value of:

28 + \frac{209}{420}

equals:

28 + \approx 0.4976

▷

\approx 28.4976