344/270 as a Decimal and Mixed Number

344/270 as a decimal and mixed number expansion provides the detailed information about what is 344/270 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

344/270 as a Decimal
344/270 = 1.2741
Hence,
344/270 as a decimal equals to 1.2741
where,
344/270 is a given fraction,
The decimal expansion of 344/270 is 1.2741

344/270 as a Mixed Number
344/270 = (270 + 74)/270
= 270/270 + 74/270
= 1 + 74/270
= 1 74/270
344/270 = 1 74/270

Hence,
344/270 as a mixed number is 1 ⁷⁴/₂₇₀
where,
344/270 is a given fraction,
1 ⁷⁴/₂₇₀ is the mixed number representation of 344/270.

The below work with steps provide the detailed information about how to convert fraction 344/270 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 344/270

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 344/270.

step 2 The numerator is greater than the denominator of the fraction 344/270, so write the given fraction in the expression form in terms of denominator as like the below:
= 344/270
= 270 + 74/270

step 3 Make the above expression as individual fractions:
= 270/270 + 74/270

step 4 Simplify the above expression:
= 1 x 270/270 + 74/270
= 1 + 74/270
= 1 + 37 x 2/135 x 2
= 1 + 37/135
1 + 37/135 can be written as a mixed number 1 ³⁷/₁₃₅.


step 5 Find the decimal equivalent for the fractional part 37/135 in the above expression:
= 1 + 0.2741
= 1.2741
344/270 = 1.2741

Hence,
344/270 as a decimal is 1.2741
344/270 as a mixed number is 1 ³⁷/₁₃₅