Solution: 0.848 as a fraction is 106/125
Methods
Converting 0.848 to a fraction, Step-by-Step
Step 1:
The first step to converting 0.848 to a fraction is to re-write 0.848 in the form p/q where p and q are both positive integers. To start with, 0.848 can be written as simply 0.848/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 0.848, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.848/1 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 0.848/1 each by 1000:
0.848
×
1000
1
×
1000
=
848
1000
\frac{0.848 × 1000}{1 × 1000} = \frac{848}{1000}
1 × 1000 0.848 × 1000 = 1000 848
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:
848
1000
=
106
125
\frac{848}{1000} = \frac{106}{125}
1000 848 = 125 106
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