145/42 as a Decimal and Mixed Number

145/42 as a decimal and mixed number expansion provides the detailed information about what is 145/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

145/42 as a Decimal
145/42 = 3.4524
Hence,
145/42 as a decimal equals to 3.4524
where,
145/42 is a given fraction,
The decimal expansion of 145/42 is 3.4524

145/42 as a Mixed Number
145/42 = (126 + 19)/42
= 126/42 + 19/42
= 3 + 19/42
= 3 19/42
145/42 = 3 19/42

Hence,
145/42 as a mixed number is 3 ¹⁹/₄₂
where,
145/42 is a given fraction,
3 ¹⁹/₄₂ is the mixed number representation of 145/42.

The below work with steps provide the detailed information about how to convert fraction 145/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 145/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 145/42.

step 2 The numerator is greater than the denominator of the fraction 145/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 145/42
= 126 + 19/42
= (3 x 42) + 19/42

step 3 Make the above expression as individual fractions:
= (3 x 42)/42 + 19/42

step 4 Simplify the above expression:
= 3 x 42/42 + 19/42
= 3 + 19/42
3 + 19/42 can be written as a mixed number 3 ¹⁹/₄₂.


step 5 Find the decimal equivalent for the fractional part 19/42 in the above expression:
= 3 + 0.4524
= 3.4524
145/42 = 3.4524

Hence,
145/42 as a decimal is 3.4524
145/42 as a mixed number is 3 ¹⁹/₄₂