Question

What is `67 1/5 divide 7 2/7`?

Answer 1

As a improper fraction, it is `784/85`

As a mixed number it is `9 19/85`

Explanation:

It would be easier to divide the mixed numbers if you turned them into improper fractions.

To do that, take the denominator of of the fraction, multiply it by the whole number, and add on the numerator to the product of the denominator and the whole number. Put your total over the original denominator. Let me break that down

`67 1/5`
Denominator = 5
Whole number = 67
Numerator = 1

Multiply denominator and whole number
`5xx67=335`

Add numerator
`335+1=336`

Put total over original denominator
`336/5`

Do the same for `7 2/7`

It would be `51/7`

So, now the problem look like: `336/5-:51/7`

When you are dividing fractions, you are actually multiplying by the reciprocal. The reciprocal of a fraction is the fraction reversed. So, the second fraction gets flipped around and the numerator becomes the denominator, visa versa. And the division symbol changes to multiplication

`336/5 xx 7/51`

Now, you can multiply the numerators together and the denominators

`336xx7=2352`

`5xx51=255`

The fraction now looks like:
`2352/255`

Note that numerator and denominatot are divisible by `3` and dividing them by `3`, we get

`784/85`

I just broke it down to show each step

Now, simplify the fraction

As a improper fraction, it is `784/85`

As a mixed number it is `9 19/85`