divide 4 divided by 3/4

Question

you can think of this as "how many equal groups of 3/4 are there in ___

Answer 1

To divide \(4\) by \(\frac{3}{4}\), you can multiply \(4\) by the reciprocal of \(\frac{3}{4}\).

The reciprocal of \(\frac{3}{4}\) is \(\frac{4}{3}\). So, you can compute:

\[ 4 \div \frac{3}{4} = 4 \times \frac{4}{3} = \frac{16}{3} \]

So, \(4\) divided by \(\frac{3}{4}\) is \(\frac{16}{3}\) or approximately \(5.33\).

In answer to the interpretation, there are \(\frac{16}{3}\) equal groups of \(\frac{3}{4}\) in \(4\).