174/102 as a Decimal and Mixed Number

174/102 as a decimal and mixed number expansion provides the detailed information about what is 174/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

174/102 as a Decimal
174/102 = 1.7059
Hence,
174/102 as a decimal equals to 1.7059
where,
174/102 is a given fraction,
The decimal expansion of 174/102 is 1.7059

174/102 as a Mixed Number
174/102 = (102 + 72)/102
= 102/102 + 72/102
= 1 + 72/102
= 1 72/102
174/102 = 1 72/102

Hence,
174/102 as a mixed number is 1 ⁷²/₁₀₂
where,
174/102 is a given fraction,
1 ⁷²/₁₀₂ is the mixed number representation of 174/102.

The below work with steps provide the detailed information about how to convert fraction 174/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 174/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 174/102.

step 2 The numerator is greater than the denominator of the fraction 174/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 174/102
= 102 + 72/102

step 3 Make the above expression as individual fractions:
= 102/102 + 72/102

step 4 Simplify the above expression:
= 1 x 102/102 + 72/102
= 1 + 72/102
= 1 + 12 x 6/17 x 6
= 1 + 12/17
1 + 12/17 can be written as a mixed number 1 ¹²/₁₇.


step 5 Find the decimal equivalent for the fractional part 12/17 in the above expression:
= 1 + 0.7059
= 1.7059
174/102 = 1.7059

Hence,
174/102 as a decimal is 1.7059
174/102 as a mixed number is 1 ¹²/₁₇