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Convert 1/12 to a decimal using division

2 Answers

5 votes

Answer:

1÷12

Explanation:

fractions can be converted to the decimal form by the long division method.

The fraction

can be written as

.

Let us do the long division for the given fraction.

What_is_1_12_as_a_decimal_img2

When the dividend is less than the divisor, add a decimal point to the quotient and add 0 to the dividend.

We can see that the dividend is still 10 and cannot be divided by 12. Hence add another 0 after the decimal point in the quotient and add 0 to the dividend to make it 0.

Carry out the division. It can be seen that the remainder 4 is recurring and hence the digit 3 in the quotient is repeated.

We can stop the division here as we know that the answer is a non-terminating decimal.

Hence the decimal form of the fraction

is 0.8333……

Here we can see that the digit 3 is repeating and hence it can be denoted with the help of a bar over the number.

Boost your score What is 1/12 as a decimal img

Note that the digit 8 is not repeated and hence the bar has to be drawn only for the digits that are repeated.

Remember

Here are some common terms you should be familiar with.

In the fraction

, the number 1 is the dividend (our numerator)

The number 12 is our divisor (our denominator).

Find More Fractions to Decimals

1/1 = 1

1/8 = 0.125

3/4 = 0.75

7/9 = 0.7

11/16 = 0.6875

8/9 = 0.8

7/8 = 0.875

4/5 = 0.8

1/2 = 0.5

1/9 = 0.1

2/5 = 0.4

3/10 = 0.3

15/32 = 0.4687

7/10 = 0.7

5/9 = 0.5

4/7 = 0.571

1/3 = 0.3

1/10 = 0.1

5/6 = 0.83

2/11 = 0.18

3/5 = 0.6

3/11 = 0.27

9/10 = 0.9

1/4 = 0.25

1/11 = 0.09

2/7 = 0.28571

5/11 = 0.45

3/7 = 0.428571

6/11 = 0.54

4/11 = 0.36

1/5 = 0.2

1/12 = 0.083

5/7 = 0.71428

8/11 = 0.72

6/7 = 0.85714

7/12 = 0.583

7/16 = 0.4375

1/6 = 0.16

1/16 = 0.0625

3/8 = 0.375

5/12 = 0.416

5/8 = 0.625

5/16 = 0.3125

15/16 = 0.9375

1/7 = 0.142857

2/3 = 0.6

2/9 = 0.2

3/16 = 0.1875

User Stefan Wullems
by
3.5k points
4 votes
Any decimal is based out of 100. So, let’s create a proportion. 1/12=x/100. Now cross multiply, 12x=100 and solve. 100/12 will give you 8.333… So now, we know 1/12 is much smaller than this… and we want it out of 1 so we just move the decimal 2 times to the left and you get 0.08333… that’s it! :)
User Andi Krusch
by
3.6k points