242/55 as a Decimal and Mixed Number

242/55 as a decimal and mixed number expansion provides the detailed information about what is 242/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/55 as a Decimal
242/55 = 4.4
Hence,
242/55 as a decimal equals to 4.4
where,
242/55 is a given fraction,
The decimal expansion of 242/55 is 4.4

242/55 as a Mixed Number
242/55 = (220 + 22)/55
= 220/55 + 22/55
= 4 + 22/55
= 4 22/55
242/55 = 4 22/55

Hence,
242/55 as a mixed number is 4 ²²/₅₅
where,
242/55 is a given fraction,
4 ²²/₅₅ is the mixed number representation of 242/55.

The below work with steps provide the detailed information about how to convert fraction 242/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/55

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/55.

step 2 The numerator is greater than the denominator of the fraction 242/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/55
= 220 + 22/55
= (4 x 55) + 22/55

step 3 Make the above expression as individual fractions:
= (4 x 55)/55 + 22/55

step 4 Simplify the above expression:
= 4 x 55/55 + 22/55
= 4 + 22/55
= 4 + 2 x 11/5 x 11
= 4 + 2/5
4 + 2/5 can be written as a mixed number 4 ²/₅.


step 5 Find the decimal equivalent for the fractional part 2/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 4 + (2/5 x 2/2)
= 4 + 4/10

step 6 Simplify the above expression further:
= 4 + 0.4
= 4.4
242/55 = 4.4

Hence,
242/55 as a decimal is 4.4
242/55 as a mixed number is 4 ²/₅