7/24 as a Decimal
7/24 as a decimal expansion provides the detailed information about what is 7/24 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
7/24 as a Decimal Expansion
7/24 = 0.2917
Hence,
7/24 as a decimal equals to 0.2917
where,
7/24 is a given fraction,
The decimal expansion of 7/24 is 0.2917
7/24 as a Mixed Number
The given fraction 7/24 can't be represented as a mixed number since the numerator 7 of the given fraction is smaller than the denominator 24.
How-to: 7/24 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 7/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 7/24
What to be found:
Find the decimal expansion of fraction 7/24.
step 2 The numerator is smaller than the denominator of the fraction 7/24, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 7/24.
= 7/24 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 7/24 x 1/100
= 700/24 x 1/100
step 4 Simplify the above expression further:
= 700/24 x 1/100
= 696 + 4/24 x 1/100
= ( 696/24 + 4/24) x 1/100
= (29 + 4/24 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 4/24 in the above expression:
= (29 + 4/24 ) x 1/100
= (29 + 0.167) x 1/100
step 6 Simplify the above expression further:
= (29 + 0.167) x 1/100
= 29.167 x 1/100
= 29.167/100
7/24= 0.29167
Hence,
7/24 as a decimal is 0.29167
