47/42 as a decimal and mixed number expansion provides the detailed information about what is 47/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
47/42 as a Decimal Expansion
47/42 = 1.119
Hence,
47/42 as a decimal equals to 1.119
where,
47/42 is a given fraction,
The decimal expansion of 47/42 is 1.119
47/42 as a Mixed Number
47/42 = (42 + 5)/42
= 42/42 + 5/42
= 1 + 5/42
= 1 5/42
47/42 = 1 5/42
Hence,
47/42 as a mixed number is 1 5/42
where,
47/42 is a given fraction,
1 5/42 is the mixed number representation of 47/42.
The below work with steps provide the detailed information about how to convert fraction 47/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 47/42
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 47/42.
step 2 The numerator is greater than the denominator of the fraction 47/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 47/42
= 42 + 5/42
step 3 Make the above expression as individual fractions:
= 42/42 + 5/42
step 4 Simplify the above expression:
= 1 x 42/42 + 5/42
= 1 + 5/42
1 + 5/42 can be written as a mixed number 1 5/42.
step 5 Find the decimal equivalent for the fractional part 5/42 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/42. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 5/42.
= 1 + (5/42 x 100/100)
step 6 Simplify the above expression further:
= 1 + (500/42 x 1/100)
= 1 + (462 + 38/42 x 1/100)
= 1 + [(462/42 + 38/42 ) x 1/100]
= 1 + [(11 + 38/42) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 38/42 in the above expression:
= 1 + [(11 + 38/42) x 1/100]
= 1 + [(11 + 0.9) x 1/100]
= 1 + (11.9 x 1/100)
= 1 + 11.9/100
= 1 + 0.119
step 8 Find the sum of above expression:
= 1 + 0.119
= 1.119
47/42 = 1.119
Hence,
47/42 as a decimal is 1.119
47/42 as a mixed number is 1 5/42