54/13 as a Decimal and Mixed Number
54/13 as a decimal and mixed number expansion provides the detailed information about what is 54/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
54/13 as a Decimal Expansion
54/13 = 4.1538
Hence,
54/13 as a decimal equals to 4.1538
where,
54/13 is a given fraction,
The decimal expansion of 54/13 is 4.1538
54/13 as a Mixed Number
54/13 = (52 + 2)/13
= 52/13 + 2/13
= 4 + 2/13
= 4 2/13
54/13 = 4 2/13
Hence,
54/13 as a mixed number is 4 2/13
where,
54/13 is a given fraction,
4 2/13 is the mixed number representation of 54/13.
How-to: 54/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 54/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 54/13
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 54/13.
step 2 The numerator is greater than the denominator of the fraction 54/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 54/13
= 52 + 2/13
= (4 x 13) + 2/13
step 3 Make the above expression as individual fractions:
= (4 x 13)/13 + 2/13
step 4 Simplify the above expression:
= 4 x 13/13 + 2/13
= 4 + 2/13
4 + 2/13 can be written as a mixed number 4 2/13.
step 5 Find the decimal equivalent for the fractional part 2/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/13. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 2/13.
= 4 + (2/13 x 100/100)
step 6 Simplify the above expression further:
= 4 + (200/13 x 1/100)
= 4 + (195 + 5/13 x 1/100)
= 4 + [(195/13 + 5/13 ) x 1/100]
= 4 + [(15 + 5/13) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/13 in the above expression:
= 4 + [(15 + 5/13) x 1/100]
= 4 + [(15 + 0.38) x 1/100]
= 4 + (15.38 x 1/100)
= 4 + 15.38/100
= 4 + 0.1538
step 8 Find the sum of above expression:
= 4 + 0.1538
= 4.1538
54/13 = 4.1538
Hence,
54/13 as a decimal is 4.1538
54/13 as a mixed number is 4 2/13