51/52 as a Decimal
51/52 as a decimal expansion provides the detailed information about what is 51/52 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
51/52 as a Decimal Expansion
51/52 = 0.9808
Hence,
51/52 as a decimal equals to 0.9808
where,
51/52 is a given fraction,
The decimal expansion of 51/52 is 0.9808
51/52 as a Mixed Number
The given fraction 51/52 can't be represented as a mixed number since the numerator 51 of the given fraction is smaller than the denominator 52.
How-to: 51/52 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 51/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 51/52
What to be found:
Find the decimal expansion of fraction 51/52.
step 2 The numerator is smaller than the denominator of the fraction 51/52, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 51/52.
= 51/52 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 51/52 x 1/10
= 510/52 x 1/10
step 4 Simplify the above expression further:
= 510/52 x 1/10
= 468 + 42/52 x 1/10
= ( 468/52 + 42/52) x 1/10
= (9 + 42/52 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 42/52 in the above expression:
= (9 + 42/52 ) x 1/10
= (9 + 0.808) x 1/10
step 6 Simplify the above expression further:
= (9 + 0.808) x 1/10
= 9.808 x 1/10
= 9.808/10
51/52= 0.9808
Hence,
51/52 as a decimal is 0.9808
