242/76 as a Decimal and Mixed Number

242/76 as a decimal and mixed number expansion provides the detailed information about what is 242/76 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/76 as a Decimal
242/76 = 3.1842
Hence,
242/76 as a decimal equals to 3.1842
where,
242/76 is a given fraction,
The decimal expansion of 242/76 is 3.1842

242/76 as a Mixed Number
242/76 = (228 + 14)/76
= 228/76 + 14/76
= 3 + 14/76
= 3 14/76
242/76 = 3 14/76

Hence,
242/76 as a mixed number is 3 ¹⁴/₇₆
where,
242/76 is a given fraction,
3 ¹⁴/₇₆ is the mixed number representation of 242/76.

The below work with steps provide the detailed information about how to convert fraction 242/76 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/76

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/76.

step 2 The numerator is greater than the denominator of the fraction 242/76, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/76
= 228 + 14/76
= (3 x 76) + 14/76

step 3 Make the above expression as individual fractions:
= (3 x 76)/76 + 14/76

step 4 Simplify the above expression:
= 3 x 76/76 + 14/76
= 3 + 14/76
= 3 + 7 x 2/38 x 2
= 3 + 7/38
3 + 7/38 can be written as a mixed number 3 ⁷/₃₈.


step 5 Find the decimal equivalent for the fractional part 7/38 in the above expression:
= 3 + 0.1842
= 3.1842
242/76 = 3.1842

Hence,
242/76 as a decimal is 3.1842
242/76 as a mixed number is 3 ⁷/₃₈