242/210 as a Decimal and Mixed Number

242/210 as a decimal and mixed number expansion provides the detailed information about what is 242/210 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/210 as a Decimal
242/210 = 1.1524
Hence,
242/210 as a decimal equals to 1.1524
where,
242/210 is a given fraction,
The decimal expansion of 242/210 is 1.1524

242/210 as a Mixed Number
242/210 = (210 + 32)/210
= 210/210 + 32/210
= 1 + 32/210
= 1 32/210
242/210 = 1 32/210

Hence,
242/210 as a mixed number is 1 ³²/₂₁₀
where,
242/210 is a given fraction,
1 ³²/₂₁₀ is the mixed number representation of 242/210.

The below work with steps provide the detailed information about how to convert fraction 242/210 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/210

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/210.

step 2 The numerator is greater than the denominator of the fraction 242/210, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/210
= 210 + 32/210

step 3 Make the above expression as individual fractions:
= 210/210 + 32/210

step 4 Simplify the above expression:
= 1 x 210/210 + 32/210
= 1 + 32/210
= 1 + 16 x 2/105 x 2
= 1 + 16/105
1 + 16/105 can be written as a mixed number 1 ¹⁶/₁₀₅.


step 5 Find the decimal equivalent for the fractional part 16/105 in the above expression:
= 1 + 0.1524
= 1.1524
242/210 = 1.1524

Hence,
242/210 as a decimal is 1.1524
242/210 as a mixed number is 1 ¹⁶/₁₀₅