58/40 as a Decimal and Mixed Number

58/40 as a decimal and mixed number expansion provides the detailed information about what is 58/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

58/40 as a Decimal
58/40 = 1.45
Hence,
58/40 as a decimal equals to 1.45
where,
58/40 is a given fraction,
The decimal expansion of 58/40 is 1.45

58/40 as a Mixed Number
58/40 = (40 + 18)/40
= 40/40 + 18/40
= 1 + 18/40
= 1 18/40
58/40 = 1 18/40

Hence,
58/40 as a mixed number is 1 ¹⁸/₄₀
where,
58/40 is a given fraction,
1 ¹⁸/₄₀ is the mixed number representation of 58/40.

The below work with steps provide the detailed information about how to convert fraction 58/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 58/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 58/40.

step 2 The numerator is greater than the denominator of the fraction 58/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 58/40
= 40 + 18/40

step 3 Make the above expression as individual fractions:
= 40/40 + 18/40

step 4 Simplify the above expression:
= 1 x 40/40 + 18/40
= 1 + 18/40
= 1 + 9 x 2/20 x 2
= 1 + 9/20
1 + 9/20 can be written as a mixed number 1 ⁹/₂₀.


step 5 Find the decimal equivalent for the fractional part 9/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (9/20 x 5/5)
= 1 + 45/100

step 6 Simplify the above expression further:
= 1 + 0.45
= 1.45
58/40 = 1.45

Hence,
58/40 as a decimal is 1.45
58/40 as a mixed number is 1 ⁹/₂₀