180/75 as a Decimal and Mixed Number

180/75 as a decimal and mixed number expansion provides the detailed information about what is 180/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/75 as a Decimal
180/75 = 2.4
Hence,
180/75 as a decimal equals to 2.4
where,
180/75 is a given fraction,
The decimal expansion of 180/75 is 2.4

180/75 as a Mixed Number
180/75 = (150 + 30)/75
= 150/75 + 30/75
= 2 + 30/75
= 2 30/75
180/75 = 2 30/75

Hence,
180/75 as a mixed number is 2 ³⁰/₇₅
where,
180/75 is a given fraction,
2 ³⁰/₇₅ is the mixed number representation of 180/75.

The below work with steps provide the detailed information about how to convert fraction 180/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/75

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/75.

step 2 The numerator is greater than the denominator of the fraction 180/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/75
= 150 + 30/75
= (2 x 75) + 30/75

step 3 Make the above expression as individual fractions:
= (2 x 75)/75 + 30/75

step 4 Simplify the above expression:
= 2 x 75/75 + 30/75
= 2 + 30/75
= 2 + 2 x 15/5 x 15
= 2 + 2/5
2 + 2/5 can be written as a mixed number 2 ²/₅.


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

step 6 Simplify the above expression further:
= 2 + 0.4
= 2.4
180/75 = 2.4

Hence,
180/75 as a decimal is 2.4
180/75 as a mixed number is 2 ²/₅