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Math Tutor's Solution: 7.825 as a fraction is 313/40
Methods
Converting 7.825 to a fraction, Step-by-Step from a Math Tutor
Step 1:
The first step to converting 7.825 to a fraction is to re-write 7.825 in the form p/q where p and q both are positive integers. To start with, 7.825 can be written as simply 7.825/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 7.825, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 7.825/1 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 7.825/1 each by 1000:
Step 3:
Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out:
Math Tutor Suggests: Become a Pro at Converting to Fractions
Become a pro at converting decimals or percentages to fractions by exploring some examples from our math tutors, like the ones below:
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