303/42 as a Decimal and Mixed Number

303/42 as a decimal and mixed number expansion provides the detailed information about what is 303/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

303/42 as a Decimal
303/42 = 7.2143
Hence,
303/42 as a decimal equals to 7.2143
where,
303/42 is a given fraction,
The decimal expansion of 303/42 is 7.2143

303/42 as a Mixed Number
303/42 = (294 + 9)/42
= 294/42 + 9/42
= 7 + 9/42
= 7 9/42
303/42 = 7 9/42

Hence,
303/42 as a mixed number is 7 ⁹/₄₂
where,
303/42 is a given fraction,
7 ⁹/₄₂ is the mixed number representation of 303/42.

The below work with steps provide the detailed information about how to convert fraction 303/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 303/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 303/42.

step 2 The numerator is greater than the denominator of the fraction 303/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 303/42
= 294 + 9/42
= (7 x 42) + 9/42

step 3 Make the above expression as individual fractions:
= (7 x 42)/42 + 9/42

step 4 Simplify the above expression:
= 7 x 42/42 + 9/42
= 7 + 9/42
= 7 + 3 x 3/14 x 3
= 7 + 3/14
7 + 3/14 can be written as a mixed number 7 ³/₁₄.


step 5 Find the decimal equivalent for the fractional part 3/14 in the above expression:
= 7 + 0.2143
= 7.2143
303/42 = 7.2143

Hence,
303/42 as a decimal is 7.2143
303/42 as a mixed number is 7 ³/₁₄