17 3/10 + 23 3/7 + 13 1/4

⚠ 17 3/10 is read as the mixed number 17 + 3/10■23 3/7 is read as the mixed number 23 + 3/7■13 1/4 is read as the mixed number 13 + 1/4

1) Let's evaluate:

17

+ \frac{3}{10}

+ 23

+ \frac{3}{7}

+ 13

+ \frac{1}{4}

ⓘ Start from

17

and move forward

23

on the number line:

17 + 23

40

40

+ \frac{3}{10}

+ \frac{3}{7}

+ 13

+ \frac{1}{4}

ⓘ Start from

40

and move forward

13

on the number line:

40 + 13

53

53

+ \frac{3}{10}

+ \frac{3}{7}

+ \frac{1}{4}

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

70

, the least common multiple of

10

and

7

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

\frac{3}{10} + \frac{3}{7}

\frac{3 \times 7}{10 \times 7} + \frac{3 \times 10}{7 \times 10}

\frac{3 \times 7 + 3 \times 10}{10 \times 7}

53 + \frac{3 \times 7 + 3 \times 10}{10 \times 7} + \frac{1}{4}

ⓘ Perform multiplications before additions and subtractions:

3 \times 7

21

3 \times 10

30

ⅰ

10 \times 7

70

53 + \frac{21 + 30}{70} + \frac{1}{4}

ⓘ Calculate the numerator and denominator before dividing:

21 + 30

51

53 + \frac{51}{70} + \frac{1}{4}

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

140

, the least common multiple of

70

and

4

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

\frac{51}{70} + \frac{1}{4}

\frac{51 \times 2}{70 \times 2} + \frac{1 \times 35}{4 \times 35}

\frac{51 \times 2 + 1 \times 35}{70 \times 2}

\frac{51 \times 2 + 35}{70 \times 2}

53 + \frac{51 \times 2 + 35}{70 \times 2}

ⓘ Perform multiplications before additions and subtractions:

51 \times 2

(50 + 1) \times 2

50 \times 2 + 2

100 + 2

102

ⅰ

70 \times 2

140

53 + \frac{102 + 35}{140}

ⓘ Calculate the numerator and denominator before dividing:

102 + 35

137

53 + \frac{137}{140}

▶Result:

53

\frac{137}{140}

2) The numeric value of:

53 + \frac{137}{140}

is:

53 + \approx 0.9786

▷

\approx 53.9786

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