61/16 as a Decimal and Mixed Number
61/16 as a decimal and mixed number expansion provides the detailed information about what is 61/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
61/16 as a Decimal Expansion
61/16 = 3.8125
Hence,
61/16 as a decimal equals to 3.8125
where,
61/16 is a given fraction,
The decimal expansion of 61/16 is 3.8125
61/16 as a Mixed Number
61/16 = (48 + 13)/16
= 48/16 + 13/16
= 3 + 13/16
= 3 13/16
61/16 = 3 13/16
Hence,
61/16 as a mixed number is 3 13/16
where,
61/16 is a given fraction,
3 13/16 is the mixed number representation of 61/16.
How-to: 61/16 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 61/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 61/16
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 61/16.
step 2 The numerator is greater than the denominator of the fraction 61/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 61/16
= 48 + 13/16
= (3 x 16) + 13/16
step 3 Make the above expression as individual fractions:
= (3 x 16)/16 + 13/16
step 4 Simplify the above expression:
= 3 x 16/16 + 13/16
= 3 + 13/16
3 + 13/16 can be written as a mixed number 3 13/16.
step 5 Find the decimal equivalent for the fractional part 13/16 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 13/16. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 13/16.
= 3 + (13/16 x 10/10)
step 6 Simplify the above expression further:
= 3 + (130/16 x 1/10)
= 3 + (128 + 2/16 x 1/10)
= 3 + [(128/16 + 2/16 ) x 1/10]
= 3 + [(8 + 2/16) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/16 in the above expression:
= 3 + [(8 + 2/16) x 1/10]
= 3 + [(8 + 0.13) x 1/10]
= 3 + (8.13 x 1/10)
= 3 + 8.13/10
= 3 + 0.813
step 8 Find the sum of above expression:
= 3 + 0.813
= 3.813
61/16 = 3.813
Hence,
61/16 as a decimal is 3.813
61/16 as a mixed number is 3 13/16