262/55 as a Decimal and Mixed Number

262/55 as a decimal and mixed number expansion provides the detailed information about what is 262/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

262/55 as a Decimal
262/55 = 4.7636
Hence,
262/55 as a decimal equals to 4.7636
where,
262/55 is a given fraction,
The decimal expansion of 262/55 is 4.7636

262/55 as a Mixed Number
262/55 = (220 + 42)/55
= 220/55 + 42/55
= 4 + 42/55
= 4 42/55
262/55 = 4 42/55

Hence,
262/55 as a mixed number is 4 ⁴²/₅₅
where,
262/55 is a given fraction,
4 ⁴²/₅₅ is the mixed number representation of 262/55.

The below work with steps provide the detailed information about how to convert fraction 262/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 262/55

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 262/55.

step 2 The numerator is greater than the denominator of the fraction 262/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 262/55
= 220 + 42/55
= (4 x 55) + 42/55

step 3 Make the above expression as individual fractions:
= (4 x 55)/55 + 42/55

step 4 Simplify the above expression:
= 4 x 55/55 + 42/55
= 4 + 42/55
4 + 42/55 can be written as a mixed number 4 ⁴²/₅₅.


step 5 Find the decimal equivalent for the fractional part 42/55 in the above expression:
= 4 + 0.7636
= 4.7636
262/55 = 4.7636

Hence,
262/55 as a decimal is 4.7636
262/55 as a mixed number is 4 ⁴²/₅₅