144/42 as a Decimal and Mixed Number

144/42 as a decimal and mixed number expansion provides the detailed information about what is 144/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

144/42 as a Decimal
144/42 = 3.4286
Hence,
144/42 as a decimal equals to 3.4286
where,
144/42 is a given fraction,
The decimal expansion of 144/42 is 3.4286

144/42 as a Mixed Number
144/42 = (126 + 18)/42
= 126/42 + 18/42
= 3 + 18/42
= 3 18/42
144/42 = 3 18/42

Hence,
144/42 as a mixed number is 3 ¹⁸/₄₂
where,
144/42 is a given fraction,
3 ¹⁸/₄₂ is the mixed number representation of 144/42.

The below work with steps provide the detailed information about how to convert fraction 144/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 144/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 144/42.

step 2 The numerator is greater than the denominator of the fraction 144/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 144/42
= 126 + 18/42
= (3 x 42) + 18/42

step 3 Make the above expression as individual fractions:
= (3 x 42)/42 + 18/42

step 4 Simplify the above expression:
= 3 x 42/42 + 18/42
= 3 + 18/42
= 3 + 3 x 6/7 x 6
= 3 + 3/7
3 + 3/7 can be written as a mixed number 3 ³/₇.


step 5 Find the decimal equivalent for the fractional part 3/7 in the above expression:
= 3 + 0.4286
= 3.4286
144/42 = 3.4286

Hence,
144/42 as a decimal is 3.4286
144/42 as a mixed number is 3 ³/₇