168/52 as a decimal and mixed number expansion provides the detailed information about what is 168/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
168/52 as a Decimal
168/52 = 3.2308
Hence,
168/52 as a decimal equals to 3.2308
where,
168/52 is a given fraction,
The decimal expansion of 168/52 is 3.2308
168/52 as a Mixed Number
168/52 = (156 + 12)/52
= 156/52 + 12/52
= 3 + 12/52
= 3 12/52
168/52 = 3 12/52
Hence,
168/52 as a mixed number is 3 12/52
where,
168/52 is a given fraction,
3 12/52 is the mixed number representation of 168/52.
The below work with steps provide the detailed information about how to convert fraction 168/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 168/52
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 168/52.
step 2 The numerator is greater than the denominator of the fraction 168/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 168/52
= 156 + 12/52
= (3 x 52) + 12/52
step 3 Make the above expression as individual fractions:
= (3 x 52)/52 + 12/52
step 4 Simplify the above expression:
= 3 x 52/52 + 12/52
= 3 + 12/52
= 3 + 3 x 4/13 x 4
= 3 + 3/13
3 + 3/13 can be written as a mixed number 3 3/13.
step 5 Find the decimal equivalent for the fractional part 3/13 in the above expression:
= 3 + 0.2308
= 3.2308
168/52 = 3.2308
Hence,
168/52 as a decimal is 3.2308
168/52 as a mixed number is 3 3/13