Solution: 29.86 as a fraction is 1493/50
Methods
Converting 29.86 to a fraction, Step-by-Step
Step 1:
The first step to converting 29.86 to a fraction is to re-write 29.86 in the form p/q where p and q both are positive integers. To start with, 29.86 can be written as simply 29.86/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 29.86, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 29.86/1 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 29.86/1 each by 100:
29.86
×
100
1
×
100
=
2986
100
\frac{29.86 × 100}{1 × 100} = \frac{2986}{100}
1 × 100 29.86 × 100 = 100 2986
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
2986
100
=
1493
50
\frac{2986}{100} = \frac{1493}{50}
100 2986 = 50 1493
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 0.356 as a fraction?
What is 2.209 as a fraction?
What is 741.2 as a fraction?
What is 99.36 as a fraction?
What is 458.9 as a fraction?