130/42 as a Decimal and Mixed Number

130/42 as a decimal and mixed number expansion provides the detailed information about what is 130/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

130/42 as a Decimal
130/42 = 3.0952
Hence,
130/42 as a decimal equals to 3.0952
where,
130/42 is a given fraction,
The decimal expansion of 130/42 is 3.0952

130/42 as a Mixed Number
130/42 = (126 + 4)/42
= 126/42 + 4/42
= 3 + 4/42
= 3 4/42
130/42 = 3 4/42

Hence,
130/42 as a mixed number is 3 ⁴/₄₂
where,
130/42 is a given fraction,
3 ⁴/₄₂ is the mixed number representation of 130/42.

The below work with steps provide the detailed information about how to convert fraction 130/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 130/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 130/42.

step 2 The numerator is greater than the denominator of the fraction 130/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 130/42
= 126 + 4/42
= (3 x 42) + 4/42

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

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


step 5 Find the decimal equivalent for the fractional part 2/21 in the above expression:
= 3 + 0.0952
= 3.0952
130/42 = 3.0952

Hence,
130/42 as a decimal is 3.0952
130/42 as a mixed number is 3 ²/₂₁