What Is 7/8 Equal To

7/eight as a decimal is 0.875

Want to practice?

In the fraction 7/8 , the number 7 is

Numerator
Denominator
Decimal
Fraction

In the fraction vii/8 , the number viii is

Numerator
Denominator
Decimal
Fraction

What is the equivalent fraction to 7/8?

7/xvi
fourteen/16
14/24
vii/24

What is the equivalent fraction to 7/8?

21/24
seven/16
7/24
14/24

Solution

Work out the fraction $$\frac78$$ using the following methods to write it as a decimal.

a) With Long Division
b) Without Long Partitioning

With Long Division

The long division method is very simple. All the fractions tin can be written as a sectionalization expression.

$$\frac78=7\div8$$

The numerator is divided by the denominator to get the decimal value of a fraction. Here seven is the numerator and eight is the denominator.

To brand 7 divisible past 8, add together 0 to 7 to make it 70. Think to place a decimal point in the quotient when this is done.

As we become the residue 0 in the third footstep, nosotros cannot divide further.

The answer is 0.875.

Without long sectionalization

The rule to straight convert a fraction to a decimal is

The denominator should be a number with i followed by one or more than zeros. Or the denominator should be a number that can exist multiplied by a suitable number to make it 10, 100, 1000 etc.
The number of zeros in the denominator is the number of digits the decimal indicate has to exist shifted to the left in the numerator.

Here we have 8 in the denominator, to which 125 can be multiplied to go 1000. The same value should be multiplied by the numerator also equally given beneath.

$$\frac{\mathbf7\boldsymbol\times\mathbf{125}}{\mathbf8\boldsymbol\times\mathbf{125}}\boldsymbol=\frac{\mathbf{875}}{\mathbf{1000}}\boldsymbol=\mathbf0\boldsymbol.\mathbf{875}$$

Recall

Here are some common terms you should be familiar with.

In the fraction$$ \frac{vii}{8}$$, the number vii is the dividend ( our numerator )

The number 8 is our divisor ( our denominator) .