Respuesta :
Answer: -21/4 or -5 1/4
Step-by-step explanation:
Sorry for the long explanation! I tend to go over board sometimes.
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator, leaving the negative sign on the numerator, and changing the operation to multiplication. Then the equation becomes
78×−61=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
7×−68×1=−428
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 8 using
GCF(42,8) = 2
−42÷28÷2=−214
The fraction
−214
is the same as
−21÷4
Convert to a mixed number using
long division for -21 ÷ 4 = -5R1, so
−214=−514
Therefore:
78÷−16=−514
Solution by Formulas
Apply the fractions formula for division, to
78÷−16
and solve
7×68×−1
=42−8
A negative on the denominator can be moved to the numerator without changing the value
=−428
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(42,8) = 2
−42÷28÷2=−214
Convert to a mixed number using
long division for -21 ÷ 4 = -5R1, so
−214=−514
Therefore:
78÷−16=−514
