Simplify : (-5/13) ÷ (-7/26)
Answers
Step-by-step explanation:
(-5/13)÷(-7/26)
10/7
Answer:
Step-by-step explanation:
−5/13÷ −7/26=137
Solution with Steps
−5/13÷ −7/26=?
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
−5/13×−2/67=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
−5×−2613×7=13091
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 130 and 91 using
GCF(130,91) = 13
130÷1391÷13=107
The fraction
107
is the same as
10÷7
Convert to a mixed number using
long division for 10 ÷ 7 = 1R3, so
107=137
Therefore:
−513÷−726=137
Solution by Formulas
Apply the fractions formula for division, to
−513÷−726
and solve
−5×2613×−7
=−130−91
A negative over a negative becomes positive
=13091
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(130,91) = 13
130÷1391÷13=107
Convert to a mixed number using
long division for 10 ÷ 7 = 1R3, so
107=137
Therefore:
−513÷−726=137