177/42 as a Decimal and Mixed Number

177/42 as a decimal and mixed number expansion provides the detailed information about what is 177/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

177/42 as a Decimal
177/42 = 4.2143
Hence,
177/42 as a decimal equals to 4.2143
where,
177/42 is a given fraction,
The decimal expansion of 177/42 is 4.2143

177/42 as a Mixed Number
177/42 = (168 + 9)/42
= 168/42 + 9/42
= 4 + 9/42
= 4 9/42
177/42 = 4 9/42

Hence,
177/42 as a mixed number is 4 ⁹/₄₂
where,
177/42 is a given fraction,
4 ⁹/₄₂ is the mixed number representation of 177/42.

The below work with steps provide the detailed information about how to convert fraction 177/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 177/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 177/42.

step 2 The numerator is greater than the denominator of the fraction 177/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 177/42
= 168 + 9/42
= (4 x 42) + 9/42

step 3 Make the above expression as individual fractions:
= (4 x 42)/42 + 9/42

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


step 5 Find the decimal equivalent for the fractional part 3/14 in the above expression:
= 4 + 0.2143
= 4.2143
177/42 = 4.2143

Hence,
177/42 as a decimal is 4.2143
177/42 as a mixed number is 4 ³/₁₄