88/45 as a decimal and mixed number expansion provides the detailed information about what is 88/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
88/45 as a Decimal Expansion
88/45 = 1.9556
Hence,
88/45 as a decimal equals to 1.9556
where,
88/45 is a given fraction,
The decimal expansion of 88/45 is 1.9556
88/45 as a Mixed Number
88/45 = (45 + 43)/45
= 45/45 + 43/45
= 1 + 43/45
= 1 43/45
88/45 = 1 43/45
Hence,
88/45 as a mixed number is 1 43/45
where,
88/45 is a given fraction,
1 43/45 is the mixed number representation of 88/45.
The below work with steps provide the detailed information about how to convert fraction 88/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 88/45
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 88/45.
step 2 The numerator is greater than the denominator of the fraction 88/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 88/45
= 45 + 43/45
step 3 Make the above expression as individual fractions:
= 45/45 + 43/45
step 4 Simplify the above expression:
= 1 x 45/45 + 43/45
= 1 + 43/45
1 + 43/45 can be written as a mixed number 1 43/45.
step 5 Find the decimal equivalent for the fractional part 43/45 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 43/45. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 43/45.
= 1 + (43/45 x 10/10)
step 6 Simplify the above expression further:
= 1 + (430/45 x 1/10)
= 1 + (405 + 25/45 x 1/10)
= 1 + [(405/45 + 25/45 ) x 1/10]
= 1 + [(9 + 25/45) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 25/45 in the above expression:
= 1 + [(9 + 25/45) x 1/10]
= 1 + [(9 + 0.56) x 1/10]
= 1 + (9.56 x 1/10)
= 1 + 9.56/10
= 1 + 0.956
step 8 Find the sum of above expression:
= 1 + 0.956
= 1.956
88/45 = 1.956
Hence,
88/45 as a decimal is 1.956
88/45 as a mixed number is 1 43/45