What is 3 1/2+12 1/7-9/5 ?

The solution to 3 1/2+12 1/7-9/5 is 13 59/70

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simplify 3 1/2+12 1/7-9/5

simplify

3 \frac{1}{2} + 12 \frac{1}{7} - \frac{9}{5}

13 \frac{59}{70}

Decimal Notation

13.84285 \dots

Solution steps

3 \frac{1}{2} + 12 \frac{1}{7} - \frac{9}{5}

Convert mixed numbers to improper fractions:

3 \frac{1}{2} = \frac{7}{2}

= \frac{7}{2} + 12 \frac{1}{7} - \frac{9}{5}

Convert mixed numbers to improper fractions:

12 \frac{1}{7} = \frac{85}{7}

= \frac{7}{2} + \frac{85}{7} - \frac{9}{5}

Least Common Multiplier of

2, 7, 5 : 70

Adjust Fractions based on the LCM

= \frac{245}{70} + \frac{850}{70} - \frac{126}{70}

Apply the fraction rule:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{245 + 850 - 126}{70}

Add the numbers:

245 + 850 - 126 = 969

= \frac{969}{70}

Convert improper fractions to mixed numbers:

\frac{969}{70} = 13 \frac{59}{70}

= 13 \frac{59}{70}

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