213/142 as a Decimal and Mixed Number

213/142 as a decimal and mixed number expansion provides the detailed information about what is 213/142 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

213/142 as a Decimal
213/142 = 1.5
Hence,
213/142 as a decimal equals to 1.5
where,
213/142 is a given fraction,
The decimal expansion of 213/142 is 1.5

213/142 as a Mixed Number
213/142 = (142 + 71)/142
= 142/142 + 71/142
= 1 + 71/142
= 1 71/142
213/142 = 1 71/142

Hence,
213/142 as a mixed number is 1 ⁷¹/₁₄₂
where,
213/142 is a given fraction,
1 ⁷¹/₁₄₂ is the mixed number representation of 213/142.

The below work with steps provide the detailed information about how to convert fraction 213/142 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 213/142

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 213/142.

step 2 The numerator is greater than the denominator of the fraction 213/142, so write the given fraction in the expression form in terms of denominator as like the below:
= 213/142
= 142 + 71/142

step 3 Make the above expression as individual fractions:
= 142/142 + 71/142

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


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (1/2 x 5/5)
= 1 + 5/10

step 6 Simplify the above expression further:
= 1 + 0.5
= 1.5
213/142 = 1.5

Hence,
213/142 as a decimal is 1.5
213/142 as a mixed number is 1 ¹/₂