49/42 as a Decimal and Mixed Number

49/42 as a decimal and mixed number expansion provides the detailed information about what is 49/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

49/42 as a Decimal
49/42 = 1.1667
Hence,
49/42 as a decimal equals to 1.1667
where,
49/42 is a given fraction,
The decimal expansion of 49/42 is 1.1667

49/42 as a Mixed Number
49/42 = (42 + 7)/42
= 42/42 + 7/42
= 1 + 7/42
= 1 7/42
49/42 = 1 7/42

Hence,
49/42 as a mixed number is 1 ⁷/₄₂
where,
49/42 is a given fraction,
1 ⁷/₄₂ is the mixed number representation of 49/42.

The below work with steps provide the detailed information about how to convert fraction 49/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 49/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 49/42.

step 2 The numerator is greater than the denominator of the fraction 49/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 49/42
= 42 + 7/42

step 3 Make the above expression as individual fractions:
= 42/42 + 7/42

step 4 Simplify the above expression:
= 1 x 42/42 + 7/42
= 1 + 7/42
= 1 + 1 x 7/6 x 7
= 1 + 1/6
1 + 1/6 can be written as a mixed number 1 ¹/₆.


step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
= 1 + 0.1667
= 1.1667
49/42 = 1.1667

Hence,
49/42 as a decimal is 1.1667
49/42 as a mixed number is 1 ¹/₆