4 ÷ 3/4

7 answers

To divide by a fraction, you can multiply by its reciprocal.

So, \( 4 \div \frac{3}{4} \) can be rewritten as:

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

Now, calculate that:

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

Thus, \( 4 \div \frac{3}{4} = \frac{16}{3} \).

If you want a mixed number, you can also express it as:

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

So the final answer is \( \frac{16}{3} \) or \( 5 \frac{1}{3} \).

3 ÷ 5/6

To divide by a fraction, you multiply by its reciprocal.

So, \( 3 \div \frac{5}{6} \) becomes:

\[ 3 \times \frac{6}{5} \]

Now, perform the multiplication:

\[ 3 \times \frac{6}{5} = \frac{18}{5} \]

So, \( 3 \div \frac{5}{6} = \frac{18}{5} \).

If you'd like, you can also express it as a mixed number:

\[ \frac{18}{5} = 3 \frac{3}{5} \]

Thus, the final answer is \( \frac{18}{5} \) or \( 3 \frac{3}{5} \).

2/3 ÷ 1/6

To divide by a fraction, you multiply by its reciprocal.

So, \( \frac{2}{3} \div \frac{1}{6} \) can be rewritten as:

\[ \frac{2}{3} \times \frac{6}{1} \]

Now, perform the multiplication:

\[ \frac{2 \times 6}{3 \times 1} = \frac{12}{3} \]

Now simplify \( \frac{12}{3} \):

\[ \frac{12}{3} = 4 \]

Thus, \( \frac{2}{3} \div \frac{1}{6} = 4 \).

7/3 ÷ 2/3

To divide by a fraction, you multiply by its reciprocal.

So, \( \frac{7}{3} \div \frac{2}{3} \) can be rewritten as:

\[ \frac{7}{3} \times \frac{3}{2} \]

Now, perform the multiplication:

\[ \frac{7 \times 3}{3 \times 2} = \frac{21}{6} \]

Next, simplify \( \frac{21}{6} \). Both the numerator and the denominator can be divided by 3:

\[ \frac{21 \div 3}{6 \div 3} = \frac{7}{2} \]

Thus, \( \frac{7}{3} \div \frac{2}{3} = \frac{7}{2} \).

If you'd like it as a mixed number, it can also be expressed as:

\[ 3 \frac{1}{2} \]

So, the final answer is \( \frac{7}{2} \) or \( 3 \frac{1}{2} \).