224/42 as a Decimal and Mixed Number

224/42 as a decimal and mixed number expansion provides the detailed information about what is 224/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

224/42 as a Decimal
224/42 = 5.3333
Hence,
224/42 as a decimal equals to 5.3333
where,
224/42 is a given fraction,
The decimal expansion of 224/42 is 5.3333

224/42 as a Mixed Number
224/42 = (210 + 14)/42
= 210/42 + 14/42
= 5 + 14/42
= 5 14/42
224/42 = 5 14/42

Hence,
224/42 as a mixed number is 5 ¹⁴/₄₂
where,
224/42 is a given fraction,
5 ¹⁴/₄₂ is the mixed number representation of 224/42.

The below work with steps provide the detailed information about how to convert fraction 224/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 224/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 224/42.

step 2 The numerator is greater than the denominator of the fraction 224/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 224/42
= 210 + 14/42
= (5 x 42) + 14/42

step 3 Make the above expression as individual fractions:
= (5 x 42)/42 + 14/42

step 4 Simplify the above expression:
= 5 x 42/42 + 14/42
= 5 + 14/42
= 5 + 1 x 14/3 x 14
= 5 + 1/3
5 + 1/3 can be written as a mixed number 5 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 5 + 0.3333
= 5.3333
224/42 = 5.3333

Hence,
224/42 as a decimal is 5.3333
224/42 as a mixed number is 5 ¹/₃