Question

Divide. 7/8÷(−5/12) can you please solve it

Answer 1

Answer:
`-(21)/(10)`

Explanation:

Start by arranging the fractions side by side

`(7)/(8)` ÷
`-(5)/(12)`

Then apply the fraction rule for division (dividing by a fraction is the same as multiplying by the reciprocal)

`(7)/(8)` ×
`-(12)/(5)`

Next, multiply the numerators and the denominators out

`(7)/(8)` ×
`-(12)/(5)`

=
`-(84)/(40)`

Lastly, simplify the fraction

`-(84)/(40)` =
`-(21)/(10)`

Answer 2

Explanation:

To divide fractions, you can multiply the first fraction (7/8) by the reciprocal of the second fraction (-5/12). The reciprocal of a fraction is found by flipping it, so the reciprocal of -5/12 is -12/5. Here's how to solve the division:

(7/8) ÷ (-5/12) = (7/8) * (-12/5)

Now, multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together:

(7 * (-12)) / (8 * 5)

This simplifies to:

(-84) / 40

To simplify further, you can find the greatest common divisor (GCD) of 84 and 40, which is 4:

(-84 / 4) / (40 / 4)

Now, divide both the numerator and denominator by 4:

-21 / 10

So, 7/8 divided by -5/12 is equal to -21/10, or when simplified, -21/10 can be further reduced to -21/10, or -2.1 as a decimal.