What is $6 \frac{9}{10} - \frac{1}{6}$ $6 9/10-1/6$ ?

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What is $6 \frac{9}{10} - \frac{1}{6}$ $6 9/10-1/6$ ?

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Answer 1 · 2018-04-11T12:57:57

$\frac{404}{60}$ $404/60$

Explanation:

So we just extend the fractions, apply the following:

$6 \frac{9}{10} - \frac{1}{6}$ $6 9/10-1/6$
$\frac{69}{10} - \frac{1}{6}$ $69/10-1/6$

Now multiply to get the same denominator.

$\frac{69}{10} - \frac{1}{6} = \frac{414}{60} - \frac{10}{60} = \frac{404}{60}$ $69/10-1/6=414/60-10/60=404/60$

Answer 2 · 2018-04-11T13:06:55

$6 \frac{11}{15}$ $6 11 / 15$

Explanation:

To simplify the calculation you first turn the left hand fraction into an improper fraction:

$6 \frac{9}{10} = \frac{69}{10}$ $6 9/10 = 69 / 10$

Then for the subtraction give both fractions the same denominator of 60 (i.e. multiply left hand fraction numerator and denominator by 6 and right hand fraction numerator and denominator by 10).

$\frac{69}{10} - \frac{1}{6} = \frac{414}{60} - \frac{10}{60} = \frac{404}{60}$ $69/ 10 - 1/6 = 414 / 60 - 10 / 60 = 404 / 60$

This can be further simplified to a proper fraction:

$\frac{404}{60} = \frac{202}{30} = 6 \frac{22}{30} = 6 \frac{11}{15}$ $404 / 60 = 202 / 30 = 6 22/30 = 6 11 / 15$

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