238/76 as a Decimal and Mixed Number

238/76 as a decimal and mixed number expansion provides the detailed information about what is 238/76 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

238/76 as a Decimal
238/76 = 3.1316
Hence,
238/76 as a decimal equals to 3.1316
where,
238/76 is a given fraction,
The decimal expansion of 238/76 is 3.1316

238/76 as a Mixed Number
238/76 = (228 + 10)/76
= 228/76 + 10/76
= 3 + 10/76
= 3 10/76
238/76 = 3 10/76

Hence,
238/76 as a mixed number is 3 ¹⁰/₇₆
where,
238/76 is a given fraction,
3 ¹⁰/₇₆ is the mixed number representation of 238/76.

The below work with steps provide the detailed information about how to convert fraction 238/76 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 238/76

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 238/76.

step 2 The numerator is greater than the denominator of the fraction 238/76, so write the given fraction in the expression form in terms of denominator as like the below:
= 238/76
= 228 + 10/76
= (3 x 76) + 10/76

step 3 Make the above expression as individual fractions:
= (3 x 76)/76 + 10/76

step 4 Simplify the above expression:
= 3 x 76/76 + 10/76
= 3 + 10/76
= 3 + 5 x 2/38 x 2
= 3 + 5/38
3 + 5/38 can be written as a mixed number 3 ⁵/₃₈.


step 5 Find the decimal equivalent for the fractional part 5/38 in the above expression:
= 3 + 0.1316
= 3.1316
238/76 = 3.1316

Hence,
238/76 as a decimal is 3.1316
238/76 as a mixed number is 3 ⁵/₃₈