150/102 as a Decimal and Mixed Number

150/102 as a decimal and mixed number expansion provides the detailed information about what is 150/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/102 as a Decimal
150/102 = 1.4706
Hence,
150/102 as a decimal equals to 1.4706
where,
150/102 is a given fraction,
The decimal expansion of 150/102 is 1.4706

150/102 as a Mixed Number
150/102 = (102 + 48)/102
= 102/102 + 48/102
= 1 + 48/102
= 1 48/102
150/102 = 1 48/102

Hence,
150/102 as a mixed number is 1 ⁴⁸/₁₀₂
where,
150/102 is a given fraction,
1 ⁴⁸/₁₀₂ is the mixed number representation of 150/102.

The below work with steps provide the detailed information about how to convert fraction 150/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/102.

step 2 The numerator is greater than the denominator of the fraction 150/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/102
= 102 + 48/102

step 3 Make the above expression as individual fractions:
= 102/102 + 48/102

step 4 Simplify the above expression:
= 1 x 102/102 + 48/102
= 1 + 48/102
= 1 + 8 x 6/17 x 6
= 1 + 8/17
1 + 8/17 can be written as a mixed number 1 ⁸/₁₇.


step 5 Find the decimal equivalent for the fractional part 8/17 in the above expression:
= 1 + 0.4706
= 1.4706
150/102 = 1.4706

Hence,
150/102 as a decimal is 1.4706
150/102 as a mixed number is 1 ⁸/₁₇