79/60 as a decimal and mixed number expansion provides the detailed information about what is 79/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
79/60 as a Decimal Expansion
79/60 = 1.3167
Hence,
79/60 as a decimal equals to 1.3167
where,
79/60 is a given fraction,
The decimal expansion of 79/60 is 1.3167
79/60 as a Mixed Number
79/60 = (60 + 19)/60
= 60/60 + 19/60
= 1 + 19/60
= 1 19/60
79/60 = 1 19/60
Hence,
79/60 as a mixed number is 1 19/60
where,
79/60 is a given fraction,
1 19/60 is the mixed number representation of 79/60.
The below work with steps provide the detailed information about how to convert fraction 79/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 79/60
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 79/60.
step 2 The numerator is greater than the denominator of the fraction 79/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 79/60
= 60 + 19/60
step 3 Make the above expression as individual fractions:
= 60/60 + 19/60
step 4 Simplify the above expression:
= 1 x 60/60 + 19/60
= 1 + 19/60
1 + 19/60 can be written as a mixed number 1 19/60.
step 5 Find the decimal equivalent for the fractional part 19/60 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 19/60. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 19/60.
= 1 + (19/60 x 10/10)
step 6 Simplify the above expression further:
= 1 + (190/60 x 1/10)
= 1 + (180 + 10/60 x 1/10)
= 1 + [(180/60 + 10/60 ) x 1/10]
= 1 + [(3 + 10/60) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/60 in the above expression:
= 1 + [(3 + 10/60) x 1/10]
= 1 + [(3 + 0.17) x 1/10]
= 1 + (3.17 x 1/10)
= 1 + 3.17/10
= 1 + 0.317
step 8 Find the sum of above expression:
= 1 + 0.317
= 1.317
79/60 = 1.317
Hence,
79/60 as a decimal is 1.317
79/60 as a mixed number is 1 19/60