246/72 as a decimal and mixed number expansion provides the detailed information about what is 246/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
246/72 as a Decimal
246/72 = 3.4167
Hence,
246/72 as a decimal equals to 3.4167
where,
246/72 is a given fraction,
The decimal expansion of 246/72 is 3.4167
246/72 as a Mixed Number
246/72 = (216 + 30)/72
= 216/72 + 30/72
= 3 + 30/72
= 3 30/72
246/72 = 3 30/72
Hence,
246/72 as a mixed number is 3 30/72
where,
246/72 is a given fraction,
3 30/72 is the mixed number representation of 246/72.
The below work with steps provide the detailed information about how to convert fraction 246/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 246/72
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 246/72.
step 2 The numerator is greater than the denominator of the fraction 246/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 246/72
= 216 + 30/72
= (3 x 72) + 30/72
step 3 Make the above expression as individual fractions:
= (3 x 72)/72 + 30/72
step 4 Simplify the above expression:
= 3 x 72/72 + 30/72
= 3 + 30/72
= 3 + 5 x 6/12 x 6
= 3 + 5/12
3 + 5/12 can be written as a mixed number 3 5/12.
step 5 Find the decimal equivalent for the fractional part 5/12 in the above expression:
= 3 + 0.4167
= 3.4167
246/72 = 3.4167
Hence,
246/72 as a decimal is 3.4167
246/72 as a mixed number is 3 5/12