Solution: 22.4 as a fraction is 112/5
Methods
Converting 22.4 to a fraction, Step-by-Step
Step 1:
The first step to converting 22.4 to a fraction is to re-write 22.4 in the form p/q where p and q both are positive integers. To start with, 22.4 can be written as simply 22.4/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 22.4, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 22.4/1 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 22.4/1 each by 10:
22.4
×
10
1
×
10
=
224
10
\frac{22.4 × 10}{1 × 10} = \frac{224}{10}
1 × 10 22.4 × 10 = 10 224
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
224
10
=
112
5
\frac{224}{10} = \frac{112}{5}
10 224 = 5 112
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 61.29 as a fraction?
What is 7.835 as a fraction?
What is 41.6 as a fraction?
What is 55.25 as a fraction?
What is 1.822 as a fraction?