# What is 16/64 simplified?

Apr 10, 2016

$\frac{16}{64} = \frac{1}{4}$

#### Explanation:

Simplify:

$\frac{16}{64}$

Both the numerator and denominator can be divided by $16$.

$\frac{16 \div 16}{64 \div 16} = \frac{1}{4}$

Apr 26, 2017

If you get really stuck you can always try this type of approach.

#### Explanation:

Lets do it in stages

Observe that both the top and bottom numbers are even. So we may divide by 2.

For multiply and divide; what you do to the bottom you do to the top

$\frac{16 \div 2}{64 \div 2} = \frac{8}{32}$

Again they are both even so we have:

$\frac{8 \div 2}{32 \div 2} = \frac{4}{16}$

$\frac{4 \div 2}{16 \div 2} = \frac{2}{8}$

$\frac{2 \div 2}{8 \div 2} = \frac{1}{4}$
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It is much faster if you spot that $4 \times 16 = 64$ so that you have

$\frac{16 \div 16}{64 \div 16} = \frac{1}{4}$

Apr 29, 2017

A = $\frac{1}{4}$

#### Explanation:

Find a common divisor:

= $\frac{\frac{16}{16}}{\frac{64}{16}}$
= $\frac{1}{4}$

Apr 30, 2017

See the solution process below:

#### Explanation:

We can rewrite this expression as:

$\frac{16}{64} \implies \frac{16 \times 1}{16 \times 4}$

Now, we can cancel common terms in the numerator and denominator:

$\frac{16 \times 1}{16 \times 4} \implies \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{16}}} \times 1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{16}}} \times 4} \implies \frac{1}{4}$

$\frac{16}{64} = \frac{1}{4}$