78/45 as a Decimal and Mixed Number

78/45 as a decimal and mixed number expansion provides the detailed information about what is 78/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

78/45 as a Decimal
78/45 = 1.7333
Hence,
78/45 as a decimal equals to 1.7333
where,
78/45 is a given fraction,
The decimal expansion of 78/45 is 1.7333

78/45 as a Mixed Number
78/45 = (45 + 33)/45
= 45/45 + 33/45
= 1 + 33/45
= 1 33/45
78/45 = 1 33/45

Hence,
78/45 as a mixed number is 1 ³³/₄₅
where,
78/45 is a given fraction,
1 ³³/₄₅ is the mixed number representation of 78/45.

The below work with steps provide the detailed information about how to convert fraction 78/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 78/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 78/45.

step 2 The numerator is greater than the denominator of the fraction 78/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 78/45
= 45 + 33/45

step 3 Make the above expression as individual fractions:
= 45/45 + 33/45

step 4 Simplify the above expression:
= 1 x 45/45 + 33/45
= 1 + 33/45
= 1 + 11 x 3/15 x 3
= 1 + 11/15
1 + 11/15 can be written as a mixed number 1 ¹¹/₁₅.


step 5 Find the decimal equivalent for the fractional part 11/15 in the above expression:
= 1 + 0.7333
= 1.7333
78/45 = 1.7333

Hence,
78/45 as a decimal is 1.7333
78/45 as a mixed number is 1 ¹¹/₁₅