25/24 as a decimal and mixed number expansion provides the detailed information about what is 25/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
25/24 as a Decimal Expansion
25/24 = 1.0417
Hence,
25/24 as a decimal equals to 1.0417
where,
25/24 is a given fraction,
The decimal expansion of 25/24 is 1.0417
25/24 as a Mixed Number
25/24 = (24 + 1)/24
= 24/24 + 1/24
= 1 + 1/24
= 1 1/24
25/24 = 1 1/24
Hence,
25/24 as a mixed number is 1 1/24
where,
25/24 is a given fraction,
1 1/24 is the mixed number representation of 25/24.
The below work with steps provide the detailed information about how to convert fraction 25/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 25/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 25/24.
step 2 The numerator is greater than the denominator of the fraction 25/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 25/24
= 24 + 1/24
step 3 Make the above expression as individual fractions:
= 24/24 + 1/24
step 4 Simplify the above expression:
= 1 + 1/24
1 + 1/24 can be written as a mixed number 1 1/24
step 5 Find the decimal equivalent for the fractional part 1/24 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/24. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 1/24.
= 1 + (1/24 x 100/100)
step 6 Simplify the above expression further:
= 1 + (100/24 x 1/100)
= 1 + (96 + 4/24 x 1/100)
= 1 + [(96/24 + 4/24 ) x 1/100]
= 1 + [(4 + 4/24) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/24 in the above expression:
= 1 + [(4 + 4/24) x 1/100]
= 1 + [(4 + 0.17) x 1/100]
= 1 + (4.17 x 1/100)
= 1 + 4.17/100
= 1 + 0.0417
step 8 Find the sum of above expression:
= 1 + 0.0417
= 1.0417
25/24 = 1.0417
Hence,
25/24 as a decimal is 1.0417
25/24 as a mixed number is 1 1/24