150/52 as a Decimal and Mixed Number

150/52 as a decimal and mixed number expansion provides the detailed information about what is 150/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/52 as a Decimal
150/52 = 2.8846
Hence,
150/52 as a decimal equals to 2.8846
where,
150/52 is a given fraction,
The decimal expansion of 150/52 is 2.8846

150/52 as a Mixed Number
150/52 = (104 + 46)/52
= 104/52 + 46/52
= 2 + 46/52
= 2 46/52
150/52 = 2 46/52

Hence,
150/52 as a mixed number is 2 ⁴⁶/₅₂
where,
150/52 is a given fraction,
2 ⁴⁶/₅₂ is the mixed number representation of 150/52.

The below work with steps provide the detailed information about how to convert fraction 150/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/52

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/52.

step 2 The numerator is greater than the denominator of the fraction 150/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/52
= 104 + 46/52
= (2 x 52) + 46/52

step 3 Make the above expression as individual fractions:
= (2 x 52)/52 + 46/52

step 4 Simplify the above expression:
= 2 x 52/52 + 46/52
= 2 + 46/52
= 2 + 23 x 2/26 x 2
= 2 + 23/26
2 + 23/26 can be written as a mixed number 2 ²³/₂₆.


step 5 Find the decimal equivalent for the fractional part 23/26 in the above expression:
= 2 + 0.8846
= 2.8846
150/52 = 2.8846

Hence,
150/52 as a decimal is 2.8846
150/52 as a mixed number is 2 ²³/₂₆