274/150 as a Decimal and Mixed Number

274/150 as a decimal and mixed number expansion provides the detailed information about what is 274/150 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

274/150 as a Decimal
274/150 = 1.8267
Hence,
274/150 as a decimal equals to 1.8267
where,
274/150 is a given fraction,
The decimal expansion of 274/150 is 1.8267

274/150 as a Mixed Number
274/150 = (150 + 124)/150
= 150/150 + 124/150
= 1 + 124/150
= 1 124/150
274/150 = 1 124/150

Hence,
274/150 as a mixed number is 1 ¹²⁴/₁₅₀
where,
274/150 is a given fraction,
1 ¹²⁴/₁₅₀ is the mixed number representation of 274/150.

The below work with steps provide the detailed information about how to convert fraction 274/150 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 274/150

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 274/150.

step 2 The numerator is greater than the denominator of the fraction 274/150, so write the given fraction in the expression form in terms of denominator as like the below:
= 274/150
= 150 + 124/150

step 3 Make the above expression as individual fractions:
= 150/150 + 124/150

step 4 Simplify the above expression:
= 1 x 150/150 + 124/150
= 1 + 124/150
= 1 + 62 x 2/75 x 2
= 1 + 62/75
1 + 62/75 can be written as a mixed number 1 ⁶²/₇₅.


step 5 Find the decimal equivalent for the fractional part 62/75 in the above expression:
= 1 + 0.8267
= 1.8267
274/150 = 1.8267

Hence,
274/150 as a decimal is 1.8267
274/150 as a mixed number is 1 ⁶²/₇₅