303/72 as a decimal and mixed number expansion provides the detailed information about what is 303/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
303/72 as a Decimal
303/72 = 4.2083
Hence,
303/72 as a decimal equals to 4.2083
where,
303/72 is a given fraction,
The decimal expansion of 303/72 is 4.2083
303/72 as a Mixed Number
303/72 = (288 + 15)/72
= 288/72 + 15/72
= 4 + 15/72
= 4 15/72
303/72 = 4 15/72
Hence,
303/72 as a mixed number is 4 15/72
where,
303/72 is a given fraction,
4 15/72 is the mixed number representation of 303/72.
The below work with steps provide the detailed information about how to convert fraction 303/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 303/72
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 303/72.
step 2 The numerator is greater than the denominator of the fraction 303/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 303/72
= 288 + 15/72
= (4 x 72) + 15/72
step 3 Make the above expression as individual fractions:
= (4 x 72)/72 + 15/72
step 4 Simplify the above expression:
= 4 x 72/72 + 15/72
= 4 + 15/72
= 4 + 5 x 3/24 x 3
= 4 + 5/24
4 + 5/24 can be written as a mixed number 4 5/24.
step 5 Find the decimal equivalent for the fractional part 5/24 in the above expression:
= 4 + 0.2083
= 4.2083
303/72 = 4.2083
Hence,
303/72 as a decimal is 4.2083
303/72 as a mixed number is 4 5/24