150/78 as a Decimal and Mixed Number

150/78 as a decimal and mixed number expansion provides the detailed information about what is 150/78 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/78 as a Decimal
150/78 = 1.9231
Hence,
150/78 as a decimal equals to 1.9231
where,
150/78 is a given fraction,
The decimal expansion of 150/78 is 1.9231

150/78 as a Mixed Number
150/78 = (78 + 72)/78
= 78/78 + 72/78
= 1 + 72/78
= 1 72/78
150/78 = 1 72/78

Hence,
150/78 as a mixed number is 1 ⁷²/₇₈
where,
150/78 is a given fraction,
1 ⁷²/₇₈ is the mixed number representation of 150/78.

The below work with steps provide the detailed information about how to convert fraction 150/78 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/78

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/78.

step 2 The numerator is greater than the denominator of the fraction 150/78, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/78
= 78 + 72/78

step 3 Make the above expression as individual fractions:
= 78/78 + 72/78

step 4 Simplify the above expression:
= 1 x 78/78 + 72/78
= 1 + 72/78
= 1 + 12 x 6/13 x 6
= 1 + 12/13
1 + 12/13 can be written as a mixed number 1 ¹²/₁₃.


step 5 Find the decimal equivalent for the fractional part 12/13 in the above expression:
= 1 + 0.9231
= 1.9231
150/78 = 1.9231

Hence,
150/78 as a decimal is 1.9231
150/78 as a mixed number is 1 ¹²/₁₃