150/45 as a Decimal and Mixed Number

150/45 as a decimal and mixed number expansion provides the detailed information about what is 150/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/45 as a Decimal
150/45 = 3.3333
Hence,
150/45 as a decimal equals to 3.3333
where,
150/45 is a given fraction,
The decimal expansion of 150/45 is 3.3333

150/45 as a Mixed Number
150/45 = (135 + 15)/45
= 135/45 + 15/45
= 3 + 15/45
= 3 15/45
150/45 = 3 15/45

Hence,
150/45 as a mixed number is 3 ¹⁵/₄₅
where,
150/45 is a given fraction,
3 ¹⁵/₄₅ is the mixed number representation of 150/45.

The below work with steps provide the detailed information about how to convert fraction 150/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/45.

step 2 The numerator is greater than the denominator of the fraction 150/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/45
= 135 + 15/45
= (3 x 45) + 15/45

step 3 Make the above expression as individual fractions:
= (3 x 45)/45 + 15/45

step 4 Simplify the above expression:
= 3 x 45/45 + 15/45
= 3 + 15/45
= 3 + 1 x 15/3 x 15
= 3 + 1/3
3 + 1/3 can be written as a mixed number 3 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 3 + 0.3333
= 3.3333
150/45 = 3.3333

Hence,
150/45 as a decimal is 3.3333
150/45 as a mixed number is 3 ¹/₃