MATH SOLVE

3 months ago

Q:
# What is 359.9 as a fraction?

Accepted Solution

A:

Solution: 359.9 as a fraction is 3599/10
Methods
Converting 359.9 to a fraction, Step-by-Step
Step 1:
The first step to converting 359.9 to a fraction is to re-write 359.9 in the form p/q where p and q both are positive integers. To start with, 359.9 can be written as simply 359.9/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 359.9, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 359.9/1 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 359.9/1 each by 10:
359.9
×
10
1
×
10
=
3599
10
\frac{359.9 × 10}{1 × 10} = \frac{3599}{10}
1 × 10 359.9 × 10 = 10 3599
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
3599
10
=
3599
10
\frac{3599}{10} = \frac{3599}{10}
10 3599 = 10 3599
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 54.29 as a fraction?
What is 51.91 as a fraction?
What is 85.41 as a fraction?
What is 31.52 as a fraction?
What is 458.9 as a fraction?