45/44 as a decimal and mixed number expansion provides the detailed information about what is 45/44 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
45/44 as a Decimal Expansion
45/44 = 1.0227
Hence,
45/44 as a decimal equals to 1.0227
where,
45/44 is a given fraction,
The decimal expansion of 45/44 is 1.0227
45/44 as a Mixed Number
45/44 = (44 + 1)/44
= 44/44 + 1/44
= 1 + 1/44
= 1 1/44
45/44 = 1 1/44
Hence,
45/44 as a mixed number is 1 1/44
where,
45/44 is a given fraction,
1 1/44 is the mixed number representation of 45/44.
The below work with steps provide the detailed information about how to convert fraction 45/44 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 45/44
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 45/44.
step 2 The numerator is greater than the denominator of the fraction 45/44, so write the given fraction in the expression form in terms of denominator as like the below:
= 45/44
= 44 + 1/44
step 3 Make the above expression as individual fractions:
= 44/44 + 1/44
step 4 Simplify the above expression:
= 1 + 1/44
1 + 1/44 can be written as a mixed number 1 1/44
step 5 Find the decimal equivalent for the fractional part 1/44 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/44. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 1/44.
= 1 + (1/44 x 100/100)
step 6 Simplify the above expression further:
= 1 + (100/44 x 1/100)
= 1 + (88 + 12/44 x 1/100)
= 1 + [(88/44 + 12/44 ) x 1/100]
= 1 + [(2 + 12/44) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 12/44 in the above expression:
= 1 + [(2 + 12/44) x 1/100]
= 1 + [(2 + 0.27) x 1/100]
= 1 + (2.27 x 1/100)
= 1 + 2.27/100
= 1 + 0.0227
step 8 Find the sum of above expression:
= 1 + 0.0227
= 1.0227
45/44 = 1.0227
Hence,
45/44 as a decimal is 1.0227
45/44 as a mixed number is 1 1/44