To divide the fractions 7/8 by 4 1/5, we need to convert the mixed number 4 1/5 into an improper fraction.
To do this, we multiply 4 by the denominator of 5 and then add 1 to get the numerator. So, 4 1/5 is equal to (4 × 5 + 1)/5 = 21/5.
Now, we can rewrite the problem as (7/8) ÷ (21/5).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 21/5 is 5/21.
So, (7/8) ÷ (21/5) is equal to (7/8) × (5/21).
We can now multiply the numerators (7 × 5 = 35) and the denominators (8 × 21 = 168) to get the answer.
Therefore, the quotient of 7/8 ÷ 4 1/5 is 35/168.
Divide to find the quotient of 7/8÷4 1/5. Simplify the answer, if possible
3 answers
simplify it
To simplify 35/168, we can find the greatest common divisor (GCD) of the numerator and denominator and divide both of them by it.
The GCD of 35 and 168 is 7. By dividing both the numerator and denominator by 7, we get:
35 ÷ 7 = 5
168 ÷ 7 = 24
Therefore, the simplified form of 35/168 is 5/24.
The GCD of 35 and 168 is 7. By dividing both the numerator and denominator by 7, we get:
35 ÷ 7 = 5
168 ÷ 7 = 24
Therefore, the simplified form of 35/168 is 5/24.