Name: Introduction to Equivalent Fractions
Uploaded: 2019-07-19
Duration: 4 min 45 s
Description: You are already familiar with the fractions used to represent the part of the whole thing. But do you know what equivalent fractions are? Let us watch this video to find out.

Question

In a division problem the divisor is

\frac{4}{5}

, the quotient is

\frac{5}{8}

of the divisor and the remainder is zero. Find the dividend.

Accepted Answer

To find the dividend in a division problem, we can use the relationship between the divisor, quotient, and dividend.

Given that the divisor is $\frac{4}{5}$ and the quotient is $\frac{5}{8}$ of the divisor, we can calculate the quotient as follows:

Quotient $= \frac{5}{8} \times \frac{4}{5} = \frac{20}{40} = \frac{1}{2}$ .

Since the remainder is zero, we know that the dividend is divisible by the divisor without any remainder. In other words, the dividend is a multiple of the divisor.

To find the dividend, we can multiply the quotient by the divisor:

Dividend $=$ Quotient $\times$ Divisor $= (\frac{1}{2} \times \frac{4}{5}) = \frac{4}{10} = \frac{2}{5}$ .

Therefore, the dividend in this division problem is $\frac{2}{5}$ .

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