Solution: 1.145 as a fraction is 229/200
Methods
Converting 1.145 to a fraction, Step-by-Step
Step 1:
The first step to converting 1.145 to a fraction is to re-write 1.145 in the form p/q where p and q both are positive integers. To start with, 1.145 can be written as simply 1.145/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 1.145, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 1.145/1 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 1.145/1 each by 1000:
1.145
×
1000
1
×
1000
=
1145
1000
\frac{1.145 × 1000}{1 × 1000} = \frac{1145}{1000}
1 × 1000 1.145 × 1000 = 1000 1145
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
1145
1000
=
229
200
\frac{1145}{1000} = \frac{229}{200}
1000 1145 = 200 229
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