Answer:
3/4÷1/10=7 1/2
Explanation:
3/4÷1/10=?
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
3//4×10/1=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
3×10/4×1=30/4
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 30 and 4 using
GCF(30,4) = 2
30÷24÷2=15/2
The fraction
15/2
is the same as
15÷2
Convert to a mixed number using
long division for 15 ÷ 2 = 7R1, so
15/2=7 1/2
Therefore:
3/4÷1/10=7 1/2
Solution by Formulas
Apply the fractions formula for division, to
3/4÷1/10
and solve
3×104×1
=30/4
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(30,4) = 2
30÷24÷2=152
Convert to a mixed number using
long division for 15 ÷ 2 = 7R1, so
15/2=7 1/2
Therefore:
3/4÷1/10=7 1/2