342/150 as a Decimal and Mixed Number

342/150 as a decimal and mixed number expansion provides the detailed information about what is 342/150 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

342/150 as a Decimal
342/150 = 2.28
Hence,
342/150 as a decimal equals to 2.28
where,
342/150 is a given fraction,
The decimal expansion of 342/150 is 2.28

342/150 as a Mixed Number
342/150 = (300 + 42)/150
= 300/150 + 42/150
= 2 + 42/150
= 2 42/150
342/150 = 2 42/150

Hence,
342/150 as a mixed number is 2 ⁴²/₁₅₀
where,
342/150 is a given fraction,
2 ⁴²/₁₅₀ is the mixed number representation of 342/150.

The below work with steps provide the detailed information about how to convert fraction 342/150 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 342/150

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 342/150.

step 2 The numerator is greater than the denominator of the fraction 342/150, so write the given fraction in the expression form in terms of denominator as like the below:
= 342/150
= 300 + 42/150
= (2 x 150) + 42/150

step 3 Make the above expression as individual fractions:
= (2 x 150)/150 + 42/150

step 4 Simplify the above expression:
= 2 x 150/150 + 42/150
= 2 + 42/150
= 2 + 7 x 6/25 x 6
= 2 + 7/25
2 + 7/25 can be written as a mixed number 2 ⁷/₂₅.


step 5 Find the decimal equivalent for the fractional part 7/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 2 + (7/25 x 4/4)
= 2 + 28/100

step 6 Simplify the above expression further:
= 2 + 0.28
= 2.28
342/150 = 2.28

Hence,
342/150 as a decimal is 2.28
342/150 as a mixed number is 2 ⁷/₂₅