89/55 as a decimal and mixed number expansion provides the detailed information about what is 89/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
89/55 as a Decimal Expansion
89/55 = 1.6182
Hence,
89/55 as a decimal equals to 1.6182
where,
89/55 is a given fraction,
The decimal expansion of 89/55 is 1.6182
89/55 as a Mixed Number
89/55 = (55 + 34)/55
= 55/55 + 34/55
= 1 + 34/55
= 1 34/55
89/55 = 1 34/55
Hence,
89/55 as a mixed number is 1 34/55
where,
89/55 is a given fraction,
1 34/55 is the mixed number representation of 89/55.
The below work with steps provide the detailed information about how to convert fraction 89/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 89/55
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 89/55.
step 2 The numerator is greater than the denominator of the fraction 89/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 89/55
= 55 + 34/55
step 3 Make the above expression as individual fractions:
= 55/55 + 34/55
step 4 Simplify the above expression:
= 1 x 55/55 + 34/55
= 1 + 34/55
1 + 34/55 can be written as a mixed number 1 34/55.
step 5 Find the decimal equivalent for the fractional part 34/55 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 34/55. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 34/55.
= 1 + (34/55 x 10/10)
step 6 Simplify the above expression further:
= 1 + (340/55 x 1/10)
= 1 + (330 + 10/55 x 1/10)
= 1 + [(330/55 + 10/55 ) x 1/10]
= 1 + [(6 + 10/55) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/55 in the above expression:
= 1 + [(6 + 10/55) x 1/10]
= 1 + [(6 + 0.18) x 1/10]
= 1 + (6.18 x 1/10)
= 1 + 6.18/10
= 1 + 0.618
step 8 Find the sum of above expression:
= 1 + 0.618
= 1.618
89/55 = 1.618
Hence,
89/55 as a decimal is 1.618
89/55 as a mixed number is 1 34/55