37/24 as a decimal and mixed number expansion provides the detailed information about what is 37/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
37/24 as a Decimal Expansion
37/24 = 1.5417
Hence,
37/24 as a decimal equals to 1.5417
where,
37/24 is a given fraction,
The decimal expansion of 37/24 is 1.5417
37/24 as a Mixed Number
37/24 = (24 + 13)/24
= 24/24 + 13/24
= 1 + 13/24
= 1 13/24
37/24 = 1 13/24
Hence,
37/24 as a mixed number is 1 13/24
where,
37/24 is a given fraction,
1 13/24 is the mixed number representation of 37/24.
The below work with steps provide the detailed information about how to convert fraction 37/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 37/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 37/24.
step 2 The numerator is greater than the denominator of the fraction 37/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 37/24
= 24 + 13/24
step 3 Make the above expression as individual fractions:
= 24/24 + 13/24
step 4 Simplify the above expression:
= 1 x 24/24 + 13/24
= 1 + 13/24
1 + 13/24 can be written as a mixed number 1 13/24.
step 5 Find the decimal equivalent for the fractional part 13/24 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 13/24. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 13/24.
= 1 + (13/24 x 10/10)
step 6 Simplify the above expression further:
= 1 + (130/24 x 1/10)
= 1 + (120 + 10/24 x 1/10)
= 1 + [(120/24 + 10/24 ) x 1/10]
= 1 + [(5 + 10/24) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/24 in the above expression:
= 1 + [(5 + 10/24) x 1/10]
= 1 + [(5 + 0.42) x 1/10]
= 1 + (5.42 x 1/10)
= 1 + 5.42/10
= 1 + 0.542
step 8 Find the sum of above expression:
= 1 + 0.542
= 1.542
37/24 = 1.542
Hence,
37/24 as a decimal is 1.542
37/24 as a mixed number is 1 13/24