MATH SOLVE

1 month ago

Q:
# What is 1.313 as a fraction?

Accepted Solution

A:

Solution: 1.313 as a fraction is 1313/1000
Methods
Converting 1.313 to a fraction, Step-by-Step
Step 1:
The first step to converting 1.313 to a fraction is to re-write 1.313 in the form p/q where p and q both are positive integers. To start with, 1.313 can be written as simply 1.313/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 1.313, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.313/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 1.313/1 each by 1000:
1.313
Γ
1000
1
Γ
1000
=
1313
1000
\frac{1.313 Γ 1000}{1 Γ 1000} = \frac{1313}{1000}
1 Γ 1000 1.313 Γ 1000 β = 1000 1313 β
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
1313
1000
=
1313
1000
\frac{1313}{1000} = \frac{1313}{1000}
1000 1313 β = 1000 1313 β
Become a Pro at Converting to Fractions
Become a pro at converting decimals or percentages to fractions by exploring some examples, like the ones below:
What is 10.2 as a fraction?
What is 925.2 as a fraction?
What is 522.4 as a fraction?
What is 464.8 as a fraction?
What is 31.04 as a fraction?