Answer:
1/2
Step-by-step explanation:
−7/8÷7/−4=?
In the second fraction, move the negative sign from the denominator to the numerator and the value remains the same.
The equivalent equation is
−7/8÷−7/4=?
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
−7/8×−4/7=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
−7×−4/8×7=28/56
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 28 and 56 using
GCF(28,56) = 28
28÷28/56÷28=1/2
Therefore:
−7/8÷7/-4=1/2
