355/220 as a Decimal and Mixed Number

355/220 as a decimal and mixed number expansion provides the detailed information about what is 355/220 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/220 as a Decimal
355/220 = 1.6136
Hence,
355/220 as a decimal equals to 1.6136
where,
355/220 is a given fraction,
The decimal expansion of 355/220 is 1.6136

355/220 as a Mixed Number
355/220 = (220 + 135)/220
= 220/220 + 135/220
= 1 + 135/220
= 1 135/220
355/220 = 1 135/220

Hence,
355/220 as a mixed number is 1 ¹³⁵/₂₂₀
where,
355/220 is a given fraction,
1 ¹³⁵/₂₂₀ is the mixed number representation of 355/220.

The below work with steps provide the detailed information about how to convert fraction 355/220 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/220

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/220.

step 2 The numerator is greater than the denominator of the fraction 355/220, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/220
= 220 + 135/220

step 3 Make the above expression as individual fractions:
= 220/220 + 135/220

step 4 Simplify the above expression:
= 1 x 220/220 + 135/220
= 1 + 135/220
= 1 + 27 x 5/44 x 5
= 1 + 27/44
1 + 27/44 can be written as a mixed number 1 ²⁷/₄₄.


step 5 Find the decimal equivalent for the fractional part 27/44 in the above expression:
= 1 + 0.6136
= 1.6136
355/220 = 1.6136

Hence,
355/220 as a decimal is 1.6136
355/220 as a mixed number is 1 ²⁷/₄₄