303/75 as a Decimal and Mixed Number
303/75 as a decimal and mixed number expansion provides the detailed information about what is 303/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
303/75 as a Decimal
303/75 = 4.04
Hence,
303/75 as a decimal equals to 4.04
where,
303/75 is a given fraction,
The decimal expansion of 303/75 is 4.04
303/75 as a Mixed Number
303/75 = (300 + 3)/75
= 300/75 + 3/75
= 4 + 3/75
= 4 3/75
303/75 = 4 3/75
Hence,
303/75 as a mixed number is 4 3/75
where,
303/75 is a given fraction,
4 3/75 is the mixed number representation of 303/75.
How-to: 303/75 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 303/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 303/75
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 303/75.
step 2 The numerator is greater than the denominator of the fraction 303/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 303/75
= 300 + 3/75
= (4 x 75) + 3/75
step 3 Make the above expression as individual fractions:
= (4 x 75)/75 + 3/75
step 4 Simplify the above expression:
= 4 x 75/75 + 3/75
= 4 + 3/75
= 4 + 1 x 3/25 x 3
= 4 + 1/25
4 + 1/25 can be written as a mixed number 4 1/25.
step 5 Find the decimal equivalent for the fractional part 1/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 4 + (1/25 x 4/4)
= 4 + 4/100
step 6 Simplify the above expression further:
= 4 + 0.04
= 4.04
303/75 = 4.04
Hence,
303/75 as a decimal is 4.04
303/75 as a mixed number is 4 1/25