62/55 as a decimal and mixed number expansion provides the detailed information about what is 62/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
62/55 as a Decimal Expansion
62/55 = 1.1273
Hence,
62/55 as a decimal equals to 1.1273
where,
62/55 is a given fraction,
The decimal expansion of 62/55 is 1.1273
62/55 as a Mixed Number
62/55 = (55 + 7)/55
= 55/55 + 7/55
= 1 + 7/55
= 1 7/55
62/55 = 1 7/55
Hence,
62/55 as a mixed number is 1 7/55
where,
62/55 is a given fraction,
1 7/55 is the mixed number representation of 62/55.
The below work with steps provide the detailed information about how to convert fraction 62/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 62/55
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 62/55.
step 2 The numerator is greater than the denominator of the fraction 62/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 62/55
= 55 + 7/55
step 3 Make the above expression as individual fractions:
= 55/55 + 7/55
step 4 Simplify the above expression:
= 1 x 55/55 + 7/55
= 1 + 7/55
1 + 7/55 can be written as a mixed number 1 7/55.
step 5 Find the decimal equivalent for the fractional part 7/55 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/55. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/55.
= 1 + (7/55 x 100/100)
step 6 Simplify the above expression further:
= 1 + (700/55 x 1/100)
= 1 + (660 + 40/55 x 1/100)
= 1 + [(660/55 + 40/55 ) x 1/100]
= 1 + [(12 + 40/55) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 40/55 in the above expression:
= 1 + [(12 + 40/55) x 1/100]
= 1 + [(12 + 0.73) x 1/100]
= 1 + (12.73 x 1/100)
= 1 + 12.73/100
= 1 + 0.1273
step 8 Find the sum of above expression:
= 1 + 0.1273
= 1.1273
62/55 = 1.1273
Hence,
62/55 as a decimal is 1.1273
62/55 as a mixed number is 1 7/55