43/49 as a Decimal
43/49 as a decimal expansion provides the detailed information about what is 43/49 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
43/49 as a Decimal Expansion
43/49 = 0.8776
Hence,
43/49 as a decimal equals to 0.8776
where,
43/49 is a given fraction,
The decimal expansion of 43/49 is 0.8776
43/49 as a Mixed Number
The given fraction 43/49 can't be represented as a mixed number since the numerator 43 of the given fraction is smaller than the denominator 49.
How-to: 43/49 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 43/49 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 43/49
What to be found:
Find the decimal expansion of fraction 43/49.
step 2 The numerator is smaller than the denominator of the fraction 43/49, 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 43/49.
= 43/49 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 43/49 x 1/10
= 430/49 x 1/10
step 4 Simplify the above expression further:
= 430/49 x 1/10
= 392 + 38/49 x 1/10
= ( 392/49 + 38/49) x 1/10
= (8 + 38/49 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 38/49 in the above expression:
= (8 + 38/49 ) x 1/10
= (8 + 0.776) x 1/10
step 6 Simplify the above expression further:
= (8 + 0.776) x 1/10
= 8.776 x 1/10
= 8.776/10
43/49= 0.8776
Hence,
43/49 as a decimal is 0.8776
