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Math Tutor's Solution: 37.7814 as a fraction is 188907/5000
Methods
Converting 37.7814 to a fraction, Step-by-Step from a Math Tutor
Step 1:
The first step to converting 37.7814 to a fraction is to re-write 37.7814 in the form p/q where p and q are both positive integers. To start with, 37.7814 can be written as simply 37.7814/1 to technically be written as a fraction.
Step 2:
Next, we will count the number of fractional digits after the decimal point in 37.7814, which in this case is 4. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 37.7814/1 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 37.7814/1 each by 10000:
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:
Math Tutor Suggests: Try to Convert Other Values to Fractions
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