divide -10/11 by 2/5

6 answers

To divide -10/11 by 2/5, we can multiply the numerator by the reciprocal of the denominator.

Reciprocal of 2/5 = 5/2

(-10/11) ÷ (2/5) = (-10/11) * (5/2)

Multiplying the numerators gives (-10 * 5) = -50
Multiplying the denominators gives (11 * 2) = 22

Therefore, the division of -10/11 by 2/5 is -50/22.
turn it into a mixed number
To turn -50/22 into a mixed number, we divide the numerator by the denominator and express the remainder as a fraction.

-50 ÷ 22 = -2 remainder -6

The whole number part is -2, and the fraction part is -6/22. To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 2.

-6 ÷ 2 = -3
22 ÷ 2 = 11

Thus, the simplified fraction is -3/11.

Therefore, -50/22 as a mixed number is -2 - 3/11.
divide -3/4 by 3/8
To divide -3/4 by 3/8, we can multiply the numerator by the reciprocal of the denominator.

Reciprocal of 3/8 = 8/3

(-3/4) ÷ (3/8) = (-3/4) * (8/3)

Multiplying the numerators gives (-3 * 8) = -24
Multiplying the denominators gives (4 * 3) = 12

Therefore, the division of -3/4 by 3/8 is -24/12.

To simplify the fraction, we divide both the numerator and denominator by their greatest common divisor, which is 12.

-24 ÷ 12 = -2
12 ÷ 12 = 1

Thus, the simplified fraction is -2/1, which is equivalent to -2.

Therefore, -3/4 divided by 3/8 is equal to -2.
divide -2 3/5 by 4/5
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