47/30 as a decimal and mixed number expansion provides the detailed information about what is 47/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
47/30 as a Decimal Expansion
47/30 = 1.5667
Hence,
47/30 as a decimal equals to 1.5667
where,
47/30 is a given fraction,
The decimal expansion of 47/30 is 1.5667
47/30 as a Mixed Number
47/30 = (30 + 17)/30
= 30/30 + 17/30
= 1 + 17/30
= 1 17/30
47/30 = 1 17/30
Hence,
47/30 as a mixed number is 1 17/30
where,
47/30 is a given fraction,
1 17/30 is the mixed number representation of 47/30.
The below work with steps provide the detailed information about how to convert fraction 47/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 47/30
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 47/30.
step 2 The numerator is greater than the denominator of the fraction 47/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 47/30
= 30 + 17/30
step 3 Make the above expression as individual fractions:
= 30/30 + 17/30
step 4 Simplify the above expression:
= 1 x 30/30 + 17/30
= 1 + 17/30
1 + 17/30 can be written as a mixed number 1 17/30.
step 5 Find the decimal equivalent for the fractional part 17/30 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 17/30. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 17/30.
= 1 + (17/30 x 10/10)
step 6 Simplify the above expression further:
= 1 + (170/30 x 1/10)
= 1 + (150 + 20/30 x 1/10)
= 1 + [(150/30 + 20/30 ) x 1/10]
= 1 + [(5 + 20/30) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 20/30 in the above expression:
= 1 + [(5 + 20/30) x 1/10]
= 1 + [(5 + 0.67) x 1/10]
= 1 + (5.67 x 1/10)
= 1 + 5.67/10
= 1 + 0.567
step 8 Find the sum of above expression:
= 1 + 0.567
= 1.567
47/30 = 1.567
Hence,
47/30 as a decimal is 1.567
47/30 as a mixed number is 1 17/30