344/142 as a Decimal and Mixed Number

344/142 as a decimal and mixed number expansion provides the detailed information about what is 344/142 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

344/142 as a Decimal
344/142 = 2.4225
Hence,
344/142 as a decimal equals to 2.4225
where,
344/142 is a given fraction,
The decimal expansion of 344/142 is 2.4225

344/142 as a Mixed Number
344/142 = (284 + 60)/142
= 284/142 + 60/142
= 2 + 60/142
= 2 60/142
344/142 = 2 60/142

Hence,
344/142 as a mixed number is 2 ⁶⁰/₁₄₂
where,
344/142 is a given fraction,
2 ⁶⁰/₁₄₂ is the mixed number representation of 344/142.

The below work with steps provide the detailed information about how to convert fraction 344/142 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 344/142

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 344/142.

step 2 The numerator is greater than the denominator of the fraction 344/142, so write the given fraction in the expression form in terms of denominator as like the below:
= 344/142
= 284 + 60/142
= (2 x 142) + 60/142

step 3 Make the above expression as individual fractions:
= (2 x 142)/142 + 60/142

step 4 Simplify the above expression:
= 2 x 142/142 + 60/142
= 2 + 60/142
= 2 + 30 x 2/71 x 2
= 2 + 30/71
2 + 30/71 can be written as a mixed number 2 ³⁰/₇₁.


step 5 Find the decimal equivalent for the fractional part 30/71 in the above expression:
= 2 + 0.4225
= 2.4225
344/142 = 2.4225

Hence,
344/142 as a decimal is 2.4225
344/142 as a mixed number is 2 ³⁰/₇₁