355/270 as a Decimal and Mixed Number

355/270 as a decimal and mixed number expansion provides the detailed information about what is 355/270 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/270 as a Decimal
355/270 = 1.3148
Hence,
355/270 as a decimal equals to 1.3148
where,
355/270 is a given fraction,
The decimal expansion of 355/270 is 1.3148

355/270 as a Mixed Number
355/270 = (270 + 85)/270
= 270/270 + 85/270
= 1 + 85/270
= 1 85/270
355/270 = 1 85/270

Hence,
355/270 as a mixed number is 1 ⁸⁵/₂₇₀
where,
355/270 is a given fraction,
1 ⁸⁵/₂₇₀ is the mixed number representation of 355/270.

The below work with steps provide the detailed information about how to convert fraction 355/270 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/270

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/270.

step 2 The numerator is greater than the denominator of the fraction 355/270, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/270
= 270 + 85/270

step 3 Make the above expression as individual fractions:
= 270/270 + 85/270

step 4 Simplify the above expression:
= 1 x 270/270 + 85/270
= 1 + 85/270
= 1 + 17 x 5/54 x 5
= 1 + 17/54
1 + 17/54 can be written as a mixed number 1 ¹⁷/₅₄.


step 5 Find the decimal equivalent for the fractional part 17/54 in the above expression:
= 1 + 0.3148
= 1.3148
355/270 = 1.3148

Hence,
355/270 as a decimal is 1.3148
355/270 as a mixed number is 1 ¹⁷/₅₄