Solution: 5.218 as a fraction is 2609/500
Methods
Converting 5.218 to a fraction, Step-by-Step
Step 1:
The first step to converting 5.218 to a fraction is to re-write 5.218 in the form p/q where p and q are both positive integers. To start with, 5.218 can be written as simply 5.218/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 5.218, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 5.218/1 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 5.218/1 each by 1000:
5.218
×
1000
1
×
1000
=
5218
1000
\frac{5.218 × 1000}{1 × 1000} = \frac{5218}{1000}
1 × 1000 5.218 × 1000 = 1000 5218
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:
5218
1000
=
2609
500
\frac{5218}{1000} = \frac{2609}{500}
1000 5218 = 500 2609
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