174/126 as a Decimal and Mixed Number

174/126 as a decimal and mixed number expansion provides the detailed information about what is 174/126 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

174/126 as a Decimal
174/126 = 1.381
Hence,
174/126 as a decimal equals to 1.381
where,
174/126 is a given fraction,
The decimal expansion of 174/126 is 1.381

174/126 as a Mixed Number
174/126 = (126 + 48)/126
= 126/126 + 48/126
= 1 + 48/126
= 1 48/126
174/126 = 1 48/126

Hence,
174/126 as a mixed number is 1 ⁴⁸/₁₂₆
where,
174/126 is a given fraction,
1 ⁴⁸/₁₂₆ is the mixed number representation of 174/126.

The below work with steps provide the detailed information about how to convert fraction 174/126 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 174/126

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 174/126.

step 2 The numerator is greater than the denominator of the fraction 174/126, so write the given fraction in the expression form in terms of denominator as like the below:
= 174/126
= 126 + 48/126

step 3 Make the above expression as individual fractions:
= 126/126 + 48/126

step 4 Simplify the above expression:
= 1 x 126/126 + 48/126
= 1 + 48/126
= 1 + 8 x 6/21 x 6
= 1 + 8/21
1 + 8/21 can be written as a mixed number 1 ⁸/₂₁.


step 5 Find the decimal equivalent for the fractional part 8/21 in the above expression:
= 1 + 0.381
= 1.381
174/126 = 1.381

Hence,
174/126 as a decimal is 1.381
174/126 as a mixed number is 1 ⁸/₂₁