61/13 as a Decimal and Mixed Number
61/13 as a decimal and mixed number expansion provides the detailed information about what is 61/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
61/13 as a Decimal Expansion
61/13 = 4.6923
Hence,
61/13 as a decimal equals to 4.6923
where,
61/13 is a given fraction,
The decimal expansion of 61/13 is 4.6923
61/13 as a Mixed Number
61/13 = (52 + 9)/13
= 52/13 + 9/13
= 4 + 9/13
= 4 9/13
61/13 = 4 9/13
Hence,
61/13 as a mixed number is 4 9/13
where,
61/13 is a given fraction,
4 9/13 is the mixed number representation of 61/13.
How-to: 61/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 61/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 61/13
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 61/13.
step 2 The numerator is greater than the denominator of the fraction 61/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 61/13
= 52 + 9/13
= (4 x 13) + 9/13
step 3 Make the above expression as individual fractions:
= (4 x 13)/13 + 9/13
step 4 Simplify the above expression:
= 4 x 13/13 + 9/13
= 4 + 9/13
4 + 9/13 can be written as a mixed number 4 9/13.
step 5 Find the decimal equivalent for the fractional part 9/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 9/13. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 9/13.
= 4 + (9/13 x 100/100)
step 6 Simplify the above expression further:
= 4 + (900/13 x 1/100)
= 4 + (897 + 3/13 x 1/100)
= 4 + [(897/13 + 3/13 ) x 1/100]
= 4 + [(69 + 3/13) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 3/13 in the above expression:
= 4 + [(69 + 3/13) x 1/100]
= 4 + [(69 + 0.23) x 1/100]
= 4 + (69.23 x 1/100)
= 4 + 69.23/100
= 4 + 0.6923
step 8 Find the sum of above expression:
= 4 + 0.6923
= 4.6923
61/13 = 4.6923
Hence,
61/13 as a decimal is 4.6923
61/13 as a mixed number is 4 9/13