140/30 as a Decimal and Mixed Number

140/30 as a decimal and mixed number expansion provides the detailed information about what is 140/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

140/30 as a Decimal
140/30 = 4.6667
Hence,
140/30 as a decimal equals to 4.6667
where,
140/30 is a given fraction,
The decimal expansion of 140/30 is 4.6667

140/30 as a Mixed Number
140/30 = (120 + 20)/30
= 120/30 + 20/30
= 4 + 20/30
= 4 20/30
140/30 = 4 20/30

Hence,
140/30 as a mixed number is 4 ²⁰/₃₀
where,
140/30 is a given fraction,
4 ²⁰/₃₀ is the mixed number representation of 140/30.

The below work with steps provide the detailed information about how to convert fraction 140/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 140/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 140/30.

step 2 The numerator is greater than the denominator of the fraction 140/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 140/30
= 120 + 20/30
= (4 x 30) + 20/30

step 3 Make the above expression as individual fractions:
= (4 x 30)/30 + 20/30

step 4 Simplify the above expression:
= 4 x 30/30 + 20/30
= 4 + 20/30
= 4 + 2 x 10/3 x 10
= 4 + 2/3
4 + 2/3 can be written as a mixed number 4 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 4 + 0.6667
= 4.6667
140/30 = 4.6667

Hence,
140/30 as a decimal is 4.6667
140/30 as a mixed number is 4 ²/₃