# 53/45 as a Decimal and Mixed Number 53/45 as a decimal and mixed number expansion provides the detailed information about what is 53/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

53/45 as a Decimal Expansion
53/45 = 1.1778
Hence,
53/45 as a decimal equals to 1.1778
where,
53/45 is a given fraction,
The decimal expansion of 53/45 is 1.1778

53/45 as a Mixed Number
53/45 = (45 + 8)/45
= 45/45 + 8/45
= 1 + 8/45
= 1 8/45
53/45 = 1 8/45

Hence,
53/45 as a mixed number is 1 8/45
where,
53/45 is a given fraction,
1 8/45 is the mixed number representation of 53/45.

For values other than 53/45, use this below tool:

## How-to: 53/45 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 53/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 53/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 53/45.

step 2 The numerator is greater than the denominator of the fraction 53/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 53/45
= 45 + 8/45

step 3 Make the above expression as individual fractions:
= 45/45 + 8/45

step 4 Simplify the above expression:
= 1 x 45/45 + 8/45
= 1 + 8/45
1 + 8/45 can be written as a mixed number 1 8/45.

step 5 Find the decimal equivalent for the fractional part 8/45 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 8/45. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 8/45.
= 1 + (8/45 x 100/100)

step 6 Simplify the above expression further:
= 1 + (800/45 x 1/100)
= 1 + (765 + 35/45 x 1/100)
= 1 + [(765/45 + 35/45 ) x 1/100]
= 1 + [(17 + 35/45) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 35/45 in the above expression:
= 1 + [(17 + 35/45) x 1/100]
= 1 + [(17 + 0.78) x 1/100]
= 1 + (17.78 x 1/100)
= 1 + 17.78/100
= 1 + 0.1778

step 8 Find the sum of above expression:
= 1 + 0.1778
= 1.1778
53/45 = 1.1778

Hence,
53/45 as a decimal is 1.1778
53/45 as a mixed number is 1 8/45 