Divide to find the quotient of 7/8÷4 1/5. Simplify the answer, if possible.
To divide 7/8 by 4 1/5, we first need to convert the mixed number 4 1/5 into an improper fraction.
To do this, we multiply the whole number (4) by the denominator (5) and add the numerator (1). This gives us (4 * 5) + 1 = 20 + 1 = 21.
So, 4 1/5 can be written as the improper fraction 21/5.
Now, we can divide 7/8 by 21/5.
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction.
So, we have (7/8) * (5/21).
Multiplying the numerators and denominators gives us 35/168.
However, the fraction 35/168 can be simplified further.
Both 35 and 168 can be divided by 7.
35 ÷ 7 = 5 and 168 ÷ 7 = 24.
So, the simplified answer is 5/24.