45/40 as a Decimal and Mixed Number

45/40 as a decimal and mixed number expansion provides the detailed information about what is 45/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

45/40 as a Decimal
45/40 = 1.125
Hence,
45/40 as a decimal equals to 1.125
where,
45/40 is a given fraction,
The decimal expansion of 45/40 is 1.125

45/40 as a Mixed Number
45/40 = (40 + 5)/40
= 40/40 + 5/40
= 1 + 5/40
= 1 5/40
45/40 = 1 5/40

Hence,
45/40 as a mixed number is 1 ⁵/₄₀
where,
45/40 is a given fraction,
1 ⁵/₄₀ is the mixed number representation of 45/40.

The below work with steps provide the detailed information about how to convert fraction 45/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 45/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 45/40.

step 2 The numerator is greater than the denominator of the fraction 45/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 45/40
= 40 + 5/40

step 3 Make the above expression as individual fractions:
= 40/40 + 5/40

step 4 Simplify the above expression:
= 1 x 40/40 + 5/40
= 1 + 5/40
= 1 + 1 x 5/8 x 5
= 1 + 1/8
1 + 1/8 can be written as a mixed number 1 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (1/8 x 125/125)
= 1 + 125/1000

step 6 Simplify the above expression further:
= 1 + 0.125
= 1.125
45/40 = 1.125

Hence,
45/40 as a decimal is 1.125
45/40 as a mixed number is 1 ¹/₈