300/73 as a decimal and mixed number expansion provides the detailed information about what is 300/73 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
300/73 as a Decimal
300/73 = 4.1096
Hence,
300/73 as a decimal equals to 4.1096
where,
300/73 is a given fraction,
The decimal expansion of 300/73 is 4.1096
300/73 as a Mixed Number
300/73 = (292 + 8)/73
= 292/73 + 8/73
= 4 + 8/73
= 4 8/73
300/73 = 4 8/73
Hence,
300/73 as a mixed number is 4 8/73
where,
300/73 is a given fraction,
4 8/73 is the mixed number representation of 300/73.
The below work with steps provide the detailed information about how to convert fraction 300/73 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/73
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/73.
step 2 The numerator is greater than the denominator of the fraction 300/73, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/73
= 292 + 8/73
= (4 x 73) + 8/73
step 3 Make the above expression as individual fractions:
= (4 x 73)/73 + 8/73
step 4 Simplify the above expression:
= 4 x 73/73 + 8/73
= 4 + 8/73
4 + 8/73 can be written as a mixed number 4 8/73.
step 5 Find the decimal equivalent for the fractional part 8/73 in the above expression:
= 4 + 0.1096
= 4.1096
300/73 = 4.1096
Hence,
300/73 as a decimal is 4.1096
300/73 as a mixed number is 4 8/73