214/142 as a Decimal and Mixed Number

214/142 as a decimal and mixed number expansion provides the detailed information about what is 214/142 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

214/142 as a Decimal
214/142 = 1.507
Hence,
214/142 as a decimal equals to 1.507
where,
214/142 is a given fraction,
The decimal expansion of 214/142 is 1.507

214/142 as a Mixed Number
214/142 = (142 + 72)/142
= 142/142 + 72/142
= 1 + 72/142
= 1 72/142
214/142 = 1 72/142

Hence,
214/142 as a mixed number is 1 ⁷²/₁₄₂
where,
214/142 is a given fraction,
1 ⁷²/₁₄₂ is the mixed number representation of 214/142.

The below work with steps provide the detailed information about how to convert fraction 214/142 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 214/142

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 214/142.

step 2 The numerator is greater than the denominator of the fraction 214/142, so write the given fraction in the expression form in terms of denominator as like the below:
= 214/142
= 142 + 72/142

step 3 Make the above expression as individual fractions:
= 142/142 + 72/142

step 4 Simplify the above expression:
= 1 x 142/142 + 72/142
= 1 + 72/142
= 1 + 36 x 2/71 x 2
= 1 + 36/71
1 + 36/71 can be written as a mixed number 1 ³⁶/₇₁.


step 5 Find the decimal equivalent for the fractional part 36/71 in the above expression:
= 1 + 0.507
= 1.507
214/142 = 1.507

Hence,
214/142 as a decimal is 1.507
214/142 as a mixed number is 1 ³⁶/₇₁