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# How do you write 1 3/8 as a decimal?

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#### Explanation

Explain in detail...

#### Explanation:

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7
Aug 5, 2017

$1 \frac{3}{8} = 1.375$

#### Explanation:

Decimal notation is a way of writing fractions which have their denominators as powers of $10$

Change $1 \frac{3}{8}$ into a fraction with a power of $10$ in the denominator.

It helps to know that $8 \times 125 = 1000$

$1 + \textcolor{b l u e}{\frac{3}{8} \times \frac{125}{125}} = 1 + \textcolor{b l u e}{\frac{375}{1000}}$

The whole number is $1$ and the fraction part is $\frac{375}{1000}$

$1 \frac{3}{8} = 1.375$

Then teach the underlying concepts
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#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

4
Aug 10, 2017

See below

#### Explanation:

To turn a fraction to a decimal you need to know some rules.
$1 \frac{3}{8}$ must be turned into an improper fraction.

To do this you need to:

$1$ get the denominator (bottom number)
$2$ multiply it by your whole number and
$3$ add the numerator (top number) .

So step $1 \mathmr{and} 2$

$8 \times 1$ will give you $8$

Step $3$
$8 + 3$ will give you $11$

The next rule is to keep your denominator the same as it is on your given fraction which is $8$ and on top for the numerator you need to have your total answer which is $11$

Therefore:
$\frac{11}{8}$ is your fraction that needs to be turned into a decimal.

To do this you simply d1vide 11 by 8

$\frac{11}{8} = 1.375$

Hope this gave you an idea of how to turn any fraction into a decimal. You can do this with any fraction.
E.g. $\frac{4}{8} = 0.5$
$\frac{9}{45} = 0.2$
$\frac{7}{49} = 0.143$

Then teach the underlying concepts
Don't copy without citing sources
preview
?

#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

2
Aug 10, 2017

$1.375$

#### Explanation:

First, we have to convert it to a fractional number.

=> $1 \frac{3}{8}$

=> $\frac{\left(1 \cdot 8\right) + 3}{8}$

=>$\frac{8 + 3}{8}$

=> $\frac{11}{8}$

Now we can easily convert it to a decimal by dividing by $8$

The answer in decimal is $1.375$

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