Work out 4 /5 ÷ 7 /15 Give your answer as a mixed number in its simplest form.
Answers
Answer:
4/5÷7/15=4/5×15/7=12/7
Answer:
1 5/7
Step-by-step explanation:
4/5÷7/15=?
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 and changing the operation to multiplication. Then the equation becomes
4/5×15/7=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
4×15/ 5×7=60/35
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 60 and 35 using
60÷53 5÷5=12/7
The fraction
12/7
is the same as
12÷7
Convert to a mixed number using
long division for 12 ÷ 7 = 12/7=1 5/7
Therefore:
4/5÷7/15=1 5/7
hope this helped:)