Divide to find the quotient of 7/8÷4 1/5. Simplify the answer, if possible.

Answer 1

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.