149/74 as a Decimal and Mixed Number

149/74 as a decimal and mixed number expansion provides the detailed information about what is 149/74 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

149/74 as a Decimal
149/74 = 2.0135
Hence,
149/74 as a decimal equals to 2.0135
where,
149/74 is a given fraction,
The decimal expansion of 149/74 is 2.0135

149/74 as a Mixed Number
149/74 = (148 + 1)/74
= 148/74 + 1/74
= 2 + 1/74
= 2 1/74
149/74 = 2 1/74

Hence,
149/74 as a mixed number is 2 ¹/₇₄
where,
149/74 is a given fraction,
2 ¹/₇₄ is the mixed number representation of 149/74.

The below work with steps provide the detailed information about how to convert fraction 149/74 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 149/74

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 149/74.

step 2 The numerator is greater than the denominator of the fraction 149/74, so write the given fraction in the expression form in terms of denominator as like the below:
= 149/74
= 148 + 1/74
= (2 x 74) + 1/74

step 3 Make the above expression as individual fractions:
= (2 x 74)/74 + 1/74

step 4 Simplify the above expression:
= 2 x 74/74 + 1/74
= 2 + 1/74
2 + 1/74 can be written as a mixed number 2 ¹/₇₄.


step 5 Find the decimal equivalent for the fractional part 1/74 in the above expression:
= 2 + 0.0135
= 2.0135
149/74 = 2.0135

Hence,
149/74 as a decimal is 2.0135
149/74 as a mixed number is 2 ¹/₇₄