61/56 as a decimal and mixed number expansion provides the detailed information about what is 61/56 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
61/56 as a Decimal Expansion
61/56 = 1.0893
Hence,
61/56 as a decimal equals to 1.0893
where,
61/56 is a given fraction,
The decimal expansion of 61/56 is 1.0893
61/56 as a Mixed Number
61/56 = (56 + 5)/56
= 56/56 + 5/56
= 1 + 5/56
= 1 5/56
61/56 = 1 5/56
Hence,
61/56 as a mixed number is 1 5/56
where,
61/56 is a given fraction,
1 5/56 is the mixed number representation of 61/56.
The below work with steps provide the detailed information about how to convert fraction 61/56 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 61/56
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 61/56.
step 2 The numerator is greater than the denominator of the fraction 61/56, so write the given fraction in the expression form in terms of denominator as like the below:
= 61/56
= 56 + 5/56
step 3 Make the above expression as individual fractions:
= 56/56 + 5/56
step 4 Simplify the above expression:
= 1 x 56/56 + 5/56
= 1 + 5/56
1 + 5/56 can be written as a mixed number 1 5/56.
step 5 Find the decimal equivalent for the fractional part 5/56 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/56. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 5/56.
= 1 + (5/56 x 100/100)
step 6 Simplify the above expression further:
= 1 + (500/56 x 1/100)
= 1 + (448 + 52/56 x 1/100)
= 1 + [(448/56 + 52/56 ) x 1/100]
= 1 + [(8 + 52/56) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 52/56 in the above expression:
= 1 + [(8 + 52/56) x 1/100]
= 1 + [(8 + 0.93) x 1/100]
= 1 + (8.93 x 1/100)
= 1 + 8.93/100
= 1 + 0.0893
step 8 Find the sum of above expression:
= 1 + 0.0893
= 1.0893
61/56 = 1.0893
Hence,
61/56 as a decimal is 1.0893
61/56 as a mixed number is 1 5/56