242/144 as a Decimal and Mixed Number

242/144 as a decimal and mixed number expansion provides the detailed information about what is 242/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/144 as a Decimal
242/144 = 1.6806
Hence,
242/144 as a decimal equals to 1.6806
where,
242/144 is a given fraction,
The decimal expansion of 242/144 is 1.6806

242/144 as a Mixed Number
242/144 = (144 + 98)/144
= 144/144 + 98/144
= 1 + 98/144
= 1 98/144
242/144 = 1 98/144

Hence,
242/144 as a mixed number is 1 ⁹⁸/₁₄₄
where,
242/144 is a given fraction,
1 ⁹⁸/₁₄₄ is the mixed number representation of 242/144.

The below work with steps provide the detailed information about how to convert fraction 242/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/144.

step 2 The numerator is greater than the denominator of the fraction 242/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/144
= 144 + 98/144

step 3 Make the above expression as individual fractions:
= 144/144 + 98/144

step 4 Simplify the above expression:
= 1 x 144/144 + 98/144
= 1 + 98/144
= 1 + 49 x 2/72 x 2
= 1 + 49/72
1 + 49/72 can be written as a mixed number 1 ⁴⁹/₇₂.


step 5 Find the decimal equivalent for the fractional part 49/72 in the above expression:
= 1 + 0.6806
= 1.6806
242/144 = 1.6806

Hence,
242/144 as a decimal is 1.6806
242/144 as a mixed number is 1 ⁴⁹/₇₂