Divide 4 ÷ 3/4

Question

You can think of this as "how many equal groups of 3/4 are there in _?"

There are 5 groups of 3/4, and there is 1 fourth left over. The remainder is 1 fourth/4 fourth, or 1/3.

4 ÷ 3/4 = _ 1/3

Answer 1

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

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

Now, perform the multiplication:

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

To express this as a mixed number, you can divide 16 by 3:

\[ 16 \div 3 = 5 \quad \text{with a remainder of } 1 \]

Thus, you can write this as:

\[ \frac{16}{3} = 5 \frac{1}{3} \]

So, the final answer is:

\[ 4 \div \frac{3}{4} = 5 \frac{1}{3} \]

Answer 2

you didnt answer the blank in
You can think of this as "how many equal groups of 3/4 are there in _?"

Answer 3

I apologize for not filling in the blank. The completed statement should read:

You can think of this as "how many equal groups of \( \frac{3}{4} \) are there in 4?"

So, the answer to the statement is:

4 ÷ \( \frac{3}{4} \) = 5 \( \frac{1}{3} \)

And to clarify, there are 5 \( \frac{1}{3} \) groups of \( \frac{3}{4} \) in 4.