47/24 as a decimal and mixed number expansion provides the detailed information about what is 47/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
47/24 as a Decimal Expansion
47/24 = 1.9583
Hence,
47/24 as a decimal equals to 1.9583
where,
47/24 is a given fraction,
The decimal expansion of 47/24 is 1.9583
47/24 as a Mixed Number
47/24 = (24 + 23)/24
= 24/24 + 23/24
= 1 + 23/24
= 1 23/24
47/24 = 1 23/24
Hence,
47/24 as a mixed number is 1 23/24
where,
47/24 is a given fraction,
1 23/24 is the mixed number representation of 47/24.
The below work with steps provide the detailed information about how to convert fraction 47/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 47/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 47/24.
step 2 The numerator is greater than the denominator of the fraction 47/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 47/24
= 24 + 23/24
step 3 Make the above expression as individual fractions:
= 24/24 + 23/24
step 4 Simplify the above expression:
= 1 x 24/24 + 23/24
= 1 + 23/24
1 + 23/24 can be written as a mixed number 1 23/24.
step 5 Find the decimal equivalent for the fractional part 23/24 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 23/24. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 23/24.
= 1 + (23/24 x 10/10)
step 6 Simplify the above expression further:
= 1 + (230/24 x 1/10)
= 1 + (216 + 14/24 x 1/10)
= 1 + [(216/24 + 14/24 ) x 1/10]
= 1 + [(9 + 14/24) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 14/24 in the above expression:
= 1 + [(9 + 14/24) x 1/10]
= 1 + [(9 + 0.58) x 1/10]
= 1 + (9.58 x 1/10)
= 1 + 9.58/10
= 1 + 0.958
step 8 Find the sum of above expression:
= 1 + 0.958
= 1.958
47/24 = 1.958
Hence,
47/24 as a decimal is 1.958
47/24 as a mixed number is 1 23/24