84/48 as a Decimal and Mixed Number

84/48 as a decimal and mixed number expansion provides the detailed information about what is 84/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

84/48 as a Decimal
84/48 = 1.75
Hence,
84/48 as a decimal equals to 1.75
where,
84/48 is a given fraction,
The decimal expansion of 84/48 is 1.75

84/48 as a Mixed Number
84/48 = (48 + 36)/48
= 48/48 + 36/48
= 1 + 36/48
= 1 36/48
84/48 = 1 36/48

Hence,
84/48 as a mixed number is 1 ³⁶/₄₈
where,
84/48 is a given fraction,
1 ³⁶/₄₈ is the mixed number representation of 84/48.

The below work with steps provide the detailed information about how to convert fraction 84/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 84/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 84/48.

step 2 The numerator is greater than the denominator of the fraction 84/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 84/48
= 48 + 36/48

step 3 Make the above expression as individual fractions:
= 48/48 + 36/48

step 4 Simplify the above expression:
= 1 x 48/48 + 36/48
= 1 + 36/48
= 1 + 3 x 12/4 x 12
= 1 + 3/4
1 + 3/4 can be written as a mixed number 1 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (3/4 x 25/25)
= 1 + 75/100

step 6 Simplify the above expression further:
= 1 + 0.75
= 1.75
84/48 = 1.75

Hence,
84/48 as a decimal is 1.75
84/48 as a mixed number is 1 ³/₄