102/42 as a Decimal and Mixed Number

102/42 as a decimal and mixed number expansion provides the detailed information about what is 102/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/42 as a Decimal
102/42 = 2.4286
Hence,
102/42 as a decimal equals to 2.4286
where,
102/42 is a given fraction,
The decimal expansion of 102/42 is 2.4286

102/42 as a Mixed Number
102/42 = (84 + 18)/42
= 84/42 + 18/42
= 2 + 18/42
= 2 18/42
102/42 = 2 18/42

Hence,
102/42 as a mixed number is 2 ¹⁸/₄₂
where,
102/42 is a given fraction,
2 ¹⁸/₄₂ is the mixed number representation of 102/42.

The below work with steps provide the detailed information about how to convert fraction 102/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/42.

step 2 The numerator is greater than the denominator of the fraction 102/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/42
= 84 + 18/42
= (2 x 42) + 18/42

step 3 Make the above expression as individual fractions:
= (2 x 42)/42 + 18/42

step 4 Simplify the above expression:
= 2 x 42/42 + 18/42
= 2 + 18/42
= 2 + 3 x 6/7 x 6
= 2 + 3/7
2 + 3/7 can be written as a mixed number 2 ³/₇.


step 5 Find the decimal equivalent for the fractional part 3/7 in the above expression:
= 2 + 0.4286
= 2.4286
102/42 = 2.4286

Hence,
102/42 as a decimal is 2.4286
102/42 as a mixed number is 2 ³/₇