7/240 as a Decimal
7/240 as a decimal expansion provides the detailed information about what is 7/240 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
7/240 as a Decimal
7/240 = 0.0292
Hence,
7/240 as a decimal equals to 0.0292
where,
7/240 is a given fraction,
The decimal expansion of 7/240 is 0.0292
7/240 as a Mixed Number
The given fraction 7/240 can't be represented as a mixed number since the numerator 7 of the given fraction is smaller than the denominator 240.
How-to: 7/240 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 7/240 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 7/240
What to be found:
Find the decimal expansion of fraction 7/240.
step 2 The numerator is smaller than the denominator of the fraction 7/240, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 2 more digits than the numerator, multiply 1000 with both numerator and denominator of 7/240.
= 7/240 x 1000/1000
step 3 Rearrange the fraction as like the below:
= 1000 x 7/240 x 1/1000
= 7000/240 x 1/1000
step 4 Simplify the above expression further:
= 7000/240 x 1/1000
= 6960 + 40/240 x 1/1000
= ( 6960/240 + 40/240) x 1/1000
= (29 + 40/240 ) x 1/1000
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 40/240 in the above expression:
= (29 + 40/240 ) x 1/1000
= (29 + 0.167) x 1/1000
step 6 Simplify the above expression further:
= (29 + 0.167) x 1/1000
= 29.167 x 1/1000
= 29.167/1000
7/240= 0.029167
Hence,
7/240 as a decimal is 0.029167