MATH SOLVE

2 months ago

Q:
# What is 5.014 as a fraction?

Accepted Solution

A:

Solution: 5.014 as a fraction is 2507/500
Methods
Converting 5.014 to a fraction, Step-by-Step
Step 1:
The first step to converting 5.014 to a fraction is to re-write 5.014 in the form p/q where p and q both are positive integers. To start with, 5.014 can be written as simply 5.014/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 5.014, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.014/1 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 5.014/1 each by 1000:
5.014
×
1000
1
×
1000
=
5014
1000
\frac{5.014 × 1000}{1 × 1000} = \frac{5014}{1000}
1 × 1000 5.014 × 1000 = 1000 5014
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
5014
1000
=
2507
500
\frac{5014}{1000} = \frac{2507}{500}
1000 5014 = 500 2507
Become a Pro at Converting to Fractions
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