125/45 as a Decimal and Mixed Number

125/45 as a decimal and mixed number expansion provides the detailed information about what is 125/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

125/45 as a Decimal
125/45 = 2.7778
Hence,
125/45 as a decimal equals to 2.7778
where,
125/45 is a given fraction,
The decimal expansion of 125/45 is 2.7778

125/45 as a Mixed Number
125/45 = (90 + 35)/45
= 90/45 + 35/45
= 2 + 35/45
= 2 35/45
125/45 = 2 35/45

Hence,
125/45 as a mixed number is 2 ³⁵/₄₅
where,
125/45 is a given fraction,
2 ³⁵/₄₅ is the mixed number representation of 125/45.

The below work with steps provide the detailed information about how to convert fraction 125/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 125/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 125/45.

step 2 The numerator is greater than the denominator of the fraction 125/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 125/45
= 90 + 35/45
= (2 x 45) + 35/45

step 3 Make the above expression as individual fractions:
= (2 x 45)/45 + 35/45

step 4 Simplify the above expression:
= 2 x 45/45 + 35/45
= 2 + 35/45
= 2 + 7 x 5/9 x 5
= 2 + 7/9
2 + 7/9 can be written as a mixed number 2 ⁷/₉.


step 5 Find the decimal equivalent for the fractional part 7/9 in the above expression:
= 2 + 0.7778
= 2.7778
125/45 = 2.7778

Hence,
125/45 as a decimal is 2.7778
125/45 as a mixed number is 2 ⁷/₉