147/42 as a Decimal and Mixed Number

147/42 as a decimal and mixed number expansion provides the detailed information about what is 147/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

147/42 as a Decimal
147/42 = 3.5
Hence,
147/42 as a decimal equals to 3.5
where,
147/42 is a given fraction,
The decimal expansion of 147/42 is 3.5

147/42 as a Mixed Number
147/42 = (126 + 21)/42
= 126/42 + 21/42
= 3 + 21/42
= 3 21/42
147/42 = 3 21/42

Hence,
147/42 as a mixed number is 3 ²¹/₄₂
where,
147/42 is a given fraction,
3 ²¹/₄₂ is the mixed number representation of 147/42.

The below work with steps provide the detailed information about how to convert fraction 147/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 147/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 147/42.

step 2 The numerator is greater than the denominator of the fraction 147/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 147/42
= 126 + 21/42
= (3 x 42) + 21/42

step 3 Make the above expression as individual fractions:
= (3 x 42)/42 + 21/42

step 4 Simplify the above expression:
= 3 x 42/42 + 21/42
= 3 + 21/42
= 3 + 1 x 21/2 x 21
= 3 + 1/2
3 + 1/2 can be written as a mixed number 3 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 3 + (1/2 x 5/5)
= 3 + 5/10

step 6 Simplify the above expression further:
= 3 + 0.5
= 3.5
147/42 = 3.5

Hence,
147/42 as a decimal is 3.5
147/42 as a mixed number is 3 ¹/₂