195/45 as a Decimal and Mixed Number

195/45 as a decimal and mixed number expansion provides the detailed information about what is 195/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

195/45 as a Decimal
195/45 = 4.3333
Hence,
195/45 as a decimal equals to 4.3333
where,
195/45 is a given fraction,
The decimal expansion of 195/45 is 4.3333

195/45 as a Mixed Number
195/45 = (180 + 15)/45
= 180/45 + 15/45
= 4 + 15/45
= 4 15/45
195/45 = 4 15/45

Hence,
195/45 as a mixed number is 4 ¹⁵/₄₅
where,
195/45 is a given fraction,
4 ¹⁵/₄₅ is the mixed number representation of 195/45.

The below work with steps provide the detailed information about how to convert fraction 195/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 195/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 195/45.

step 2 The numerator is greater than the denominator of the fraction 195/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 195/45
= 180 + 15/45
= (4 x 45) + 15/45

step 3 Make the above expression as individual fractions:
= (4 x 45)/45 + 15/45

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


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 4 + 0.3333
= 4.3333
195/45 = 4.3333

Hence,
195/45 as a decimal is 4.3333
195/45 as a mixed number is 4 ¹/₃