145/45 as a Decimal and Mixed Number

145/45 as a decimal and mixed number expansion provides the detailed information about what is 145/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

145/45 as a Decimal
145/45 = 3.2222
Hence,
145/45 as a decimal equals to 3.2222
where,
145/45 is a given fraction,
The decimal expansion of 145/45 is 3.2222

145/45 as a Mixed Number
145/45 = (135 + 10)/45
= 135/45 + 10/45
= 3 + 10/45
= 3 10/45
145/45 = 3 10/45

Hence,
145/45 as a mixed number is 3 ¹⁰/₄₅
where,
145/45 is a given fraction,
3 ¹⁰/₄₅ is the mixed number representation of 145/45.

The below work with steps provide the detailed information about how to convert fraction 145/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 145/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 145/45.

step 2 The numerator is greater than the denominator of the fraction 145/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 145/45
= 135 + 10/45
= (3 x 45) + 10/45

step 3 Make the above expression as individual fractions:
= (3 x 45)/45 + 10/45

step 4 Simplify the above expression:
= 3 x 45/45 + 10/45
= 3 + 10/45
= 3 + 2 x 5/9 x 5
= 3 + 2/9
3 + 2/9 can be written as a mixed number 3 ²/₉.


step 5 Find the decimal equivalent for the fractional part 2/9 in the above expression:
= 3 + 0.2222
= 3.2222
145/45 = 3.2222

Hence,
145/45 as a decimal is 3.2222
145/45 as a mixed number is 3 ²/₉