Solution: 467.7 as a fraction is 4677/10
Methods
Converting 467.7 to a fraction, Step-by-Step
Step 1:
The first step to converting 467.7 to a fraction is to re-write 467.7 in the form p/q where p and q both are positive integers. To start with, 467.7 can be written as simply 467.7/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 467.7, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 467.7/1 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 467.7/1 each by 10:
467.7
×
10
1
×
10
=
4677
10
\frac{467.7 × 10}{1 × 10} = \frac{4677}{10}
1 × 10 467.7 × 10 = 10 4677
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
4677
10
=
4677
10
\frac{4677}{10} = \frac{4677}{10}
10 4677 = 10 4677
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 6.105 as a fraction?
What is 644.6 as a fraction?
What is 53.95 as a fraction?
What is 364.6 as a fraction?
What is 7.438 as a fraction?