355/213 as a Decimal and Mixed Number

355/213 as a decimal and mixed number expansion provides the detailed information about what is 355/213 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/213 as a Decimal
355/213 = 1.6667
Hence,
355/213 as a decimal equals to 1.6667
where,
355/213 is a given fraction,
The decimal expansion of 355/213 is 1.6667

355/213 as a Mixed Number
355/213 = (213 + 142)/213
= 213/213 + 142/213
= 1 + 142/213
= 1 142/213
355/213 = 1 142/213

Hence,
355/213 as a mixed number is 1 ¹⁴²/₂₁₃
where,
355/213 is a given fraction,
1 ¹⁴²/₂₁₃ is the mixed number representation of 355/213.

The below work with steps provide the detailed information about how to convert fraction 355/213 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/213

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/213.

step 2 The numerator is greater than the denominator of the fraction 355/213, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/213
= 213 + 142/213

step 3 Make the above expression as individual fractions:
= 213/213 + 142/213

step 4 Simplify the above expression:
= 1 x 213/213 + 142/213
= 1 + 142/213
= 1 + 2 x 71/3 x 71
= 1 + 2/3
1 + 2/3 can be written as a mixed number 1 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 1 + 0.6667
= 1.6667
355/213 = 1.6667

Hence,
355/213 as a decimal is 1.6667
355/213 as a mixed number is 1 ²/₃