308/262 as a Decimal and Mixed Number

308/262 as a decimal and mixed number expansion provides the detailed information about what is 308/262 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

308/262 as a Decimal
308/262 = 1.1756
Hence,
308/262 as a decimal equals to 1.1756
where,
308/262 is a given fraction,
The decimal expansion of 308/262 is 1.1756

308/262 as a Mixed Number
308/262 = (262 + 46)/262
= 262/262 + 46/262
= 1 + 46/262
= 1 46/262
308/262 = 1 46/262

Hence,
308/262 as a mixed number is 1 ⁴⁶/₂₆₂
where,
308/262 is a given fraction,
1 ⁴⁶/₂₆₂ is the mixed number representation of 308/262.

The below work with steps provide the detailed information about how to convert fraction 308/262 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 308/262

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 308/262.

step 2 The numerator is greater than the denominator of the fraction 308/262, so write the given fraction in the expression form in terms of denominator as like the below:
= 308/262
= 262 + 46/262

step 3 Make the above expression as individual fractions:
= 262/262 + 46/262

step 4 Simplify the above expression:
= 1 x 262/262 + 46/262
= 1 + 46/262
= 1 + 23 x 2/131 x 2
= 1 + 23/131
1 + 23/131 can be written as a mixed number 1 ²³/₁₃₁.


step 5 Find the decimal equivalent for the fractional part 23/131 in the above expression:
= 1 + 0.1756
= 1.1756
308/262 = 1.1756

Hence,
308/262 as a decimal is 1.1756
308/262 as a mixed number is 1 ²³/₁₃₁