84/40 as a Decimal and Mixed Number

84/40 as a decimal and mixed number expansion provides the detailed information about what is 84/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

84/40 as a Decimal
84/40 = 2.1
Hence,
84/40 as a decimal equals to 2.1
where,
84/40 is a given fraction,
The decimal expansion of 84/40 is 2.1

84/40 as a Mixed Number
84/40 = (80 + 4)/40
= 80/40 + 4/40
= 2 + 4/40
= 2 4/40
84/40 = 2 4/40

Hence,
84/40 as a mixed number is 2 ⁴/₄₀
where,
84/40 is a given fraction,
2 ⁴/₄₀ is the mixed number representation of 84/40.

The below work with steps provide the detailed information about how to convert fraction 84/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 84/40

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 84/40.

step 2 The numerator is greater than the denominator of the fraction 84/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 84/40
= 80 + 4/40
= (2 x 40) + 4/40

step 3 Make the above expression as individual fractions:
= (2 x 40)/40 + 4/40

step 4 Simplify the above expression:
= 2 x 40/40 + 4/40
= 2 + 4/40
= 2 + 1 x 4/10 x 4
= 2 + 1/10
2 + 1/10 can be written as a mixed number 2 ¹/₁₀.


step 5 Find the decimal equivalent for the fractional part 1/10 in the above expression:
= 2 + 0.1
= 2.1
84/40 = 2.1

Hence,
84/40 as a decimal is 2.1
84/40 as a mixed number is 2 ¹/₁₀