31/8 as a Decimal and Mixed Number
31/8 as a decimal and mixed number expansion provides the detailed information about what is 31/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
31/8 as a Decimal Expansion
31/8 = 3.875
Hence,
31/8 as a decimal equals to 3.875
where,
31/8 is a given fraction,
The decimal expansion of 31/8 is 3.875
31/8 as a Mixed Number
31/8 = (24 + 7)/8
= 24/8 + 7/8
= 3 + 7/8
= 3 7/8
31/8 = 3 7/8
Hence,
31/8 as a mixed number is 3 7/8
where,
31/8 is a given fraction,
3 7/8 is the mixed number representation of 31/8.
How-to: 31/8 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 31/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 31/8
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 31/8.
step 2 The numerator is greater than the denominator of the fraction 31/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 31/8
= 24 + 7/8
= (3 x 8) + 7/8
step 3 Make the above expression as individual fractions:
= (3 x 8)/8 + 7/8
step 4 Simplify the above expression:
= 3 x 8/8 + 7/8
= 3 + 7/8
3 + 7/8 can be written as a mixed number 3 7/8.
step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/8. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 7/8.
= 3 + (7/8 x 10/10)
step 6 Simplify the above expression further:
= 3 + (70/8 x 1/10)
= 3 + (64 + 6/8 x 1/10)
= 3 + [(64/8 + 6/8 ) x 1/10]
= 3 + [(8 + 6/8) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 6/8 in the above expression:
= 3 + [(8 + 6/8) x 1/10]
= 3 + [(8 + 0.75) x 1/10]
= 3 + (8.75 x 1/10)
= 3 + 8.75/10
= 3 + 0.875
step 8 Find the sum of above expression:
= 3 + 0.875
= 3.875
31/8 = 3.875
Hence,
31/8 as a decimal is 3.875
31/8 as a mixed number is 3 7/8