102/46 as a Decimal and Mixed Number

102/46 as a decimal and mixed number expansion provides the detailed information about what is 102/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/46 as a Decimal
102/46 = 2.2174
Hence,
102/46 as a decimal equals to 2.2174
where,
102/46 is a given fraction,
The decimal expansion of 102/46 is 2.2174

102/46 as a Mixed Number
102/46 = (92 + 10)/46
= 92/46 + 10/46
= 2 + 10/46
= 2 10/46
102/46 = 2 10/46

Hence,
102/46 as a mixed number is 2 ¹⁰/₄₆
where,
102/46 is a given fraction,
2 ¹⁰/₄₆ is the mixed number representation of 102/46.

The below work with steps provide the detailed information about how to convert fraction 102/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/46.

step 2 The numerator is greater than the denominator of the fraction 102/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/46
= 92 + 10/46
= (2 x 46) + 10/46

step 3 Make the above expression as individual fractions:
= (2 x 46)/46 + 10/46

step 4 Simplify the above expression:
= 2 x 46/46 + 10/46
= 2 + 10/46
= 2 + 5 x 2/23 x 2
= 2 + 5/23
2 + 5/23 can be written as a mixed number 2 ⁵/₂₃.


step 5 Find the decimal equivalent for the fractional part 5/23 in the above expression:
= 2 + 0.2174
= 2.2174
102/46 = 2.2174

Hence,
102/46 as a decimal is 2.2174
102/46 as a mixed number is 2 ⁵/₂₃