308/74 as a decimal and mixed number expansion provides the detailed information about what is 308/74 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
308/74 as a Decimal
308/74 = 4.1622
Hence,
308/74 as a decimal equals to 4.1622
where,
308/74 is a given fraction,
The decimal expansion of 308/74 is 4.1622
308/74 as a Mixed Number
308/74 = (296 + 12)/74
= 296/74 + 12/74
= 4 + 12/74
= 4 12/74
308/74 = 4 12/74
Hence,
308/74 as a mixed number is 4 12/74
where,
308/74 is a given fraction,
4 12/74 is the mixed number representation of 308/74.
The below work with steps provide the detailed information about how to convert fraction 308/74 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 308/74
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 308/74.
step 2 The numerator is greater than the denominator of the fraction 308/74, so write the given fraction in the expression form in terms of denominator as like the below:
= 308/74
= 296 + 12/74
= (4 x 74) + 12/74
step 3 Make the above expression as individual fractions:
= (4 x 74)/74 + 12/74
step 4 Simplify the above expression:
= 4 x 74/74 + 12/74
= 4 + 12/74
= 4 + 6 x 2/37 x 2
= 4 + 6/37
4 + 6/37 can be written as a mixed number 4 6/37.
step 5 Find the decimal equivalent for the fractional part 6/37 in the above expression:
= 4 + 0.1622
= 4.1622
308/74 = 4.1622
Hence,
308/74 as a decimal is 4.1622
308/74 as a mixed number is 4 6/37