97/90 as a decimal and mixed number expansion provides the detailed information about what is 97/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
97/90 as a Decimal Expansion
97/90 = 1.0778
Hence,
97/90 as a decimal equals to 1.0778
where,
97/90 is a given fraction,
The decimal expansion of 97/90 is 1.0778
97/90 as a Mixed Number
97/90 = (90 + 7)/90
= 90/90 + 7/90
= 1 + 7/90
= 1 7/90
97/90 = 1 7/90
Hence,
97/90 as a mixed number is 1 7/90
where,
97/90 is a given fraction,
1 7/90 is the mixed number representation of 97/90.
The below work with steps provide the detailed information about how to convert fraction 97/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 97/90
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 97/90.
step 2 The numerator is greater than the denominator of the fraction 97/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 97/90
= 90 + 7/90
step 3 Make the above expression as individual fractions:
= 90/90 + 7/90
step 4 Simplify the above expression:
= 1 x 90/90 + 7/90
= 1 + 7/90
1 + 7/90 can be written as a mixed number 1 7/90.
step 5 Find the decimal equivalent for the fractional part 7/90 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/90. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/90.
= 1 + (7/90 x 100/100)
step 6 Simplify the above expression further:
= 1 + (700/90 x 1/100)
= 1 + (630 + 70/90 x 1/100)
= 1 + [(630/90 + 70/90 ) x 1/100]
= 1 + [(7 + 70/90) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 70/90 in the above expression:
= 1 + [(7 + 70/90) x 1/100]
= 1 + [(7 + 0.78) x 1/100]
= 1 + (7.78 x 1/100)
= 1 + 7.78/100
= 1 + 0.0778
step 8 Find the sum of above expression:
= 1 + 0.0778
= 1.0778
97/90 = 1.0778
Hence,
97/90 as a decimal is 1.0778
97/90 as a mixed number is 1 7/90