49/33 as a decimal and mixed number expansion provides the detailed information about what is 49/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
49/33 as a Decimal Expansion
49/33 = 1.4848
Hence,
49/33 as a decimal equals to 1.4848
where,
49/33 is a given fraction,
The decimal expansion of 49/33 is 1.4848
49/33 as a Mixed Number
49/33 = (33 + 16)/33
= 33/33 + 16/33
= 1 + 16/33
= 1 16/33
49/33 = 1 16/33
Hence,
49/33 as a mixed number is 1 16/33
where,
49/33 is a given fraction,
1 16/33 is the mixed number representation of 49/33.
The below work with steps provide the detailed information about how to convert fraction 49/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 49/33
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 49/33.
step 2 The numerator is greater than the denominator of the fraction 49/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 49/33
= 33 + 16/33
step 3 Make the above expression as individual fractions:
= 33/33 + 16/33
step 4 Simplify the above expression:
= 1 x 33/33 + 16/33
= 1 + 16/33
1 + 16/33 can be written as a mixed number 1 16/33.
step 5 Find the decimal equivalent for the fractional part 16/33 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 16/33. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 16/33.
= 1 + (16/33 x 10/10)
step 6 Simplify the above expression further:
= 1 + (160/33 x 1/10)
= 1 + (132 + 28/33 x 1/10)
= 1 + [(132/33 + 28/33 ) x 1/10]
= 1 + [(4 + 28/33) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 28/33 in the above expression:
= 1 + [(4 + 28/33) x 1/10]
= 1 + [(4 + 0.85) x 1/10]
= 1 + (4.85 x 1/10)
= 1 + 4.85/10
= 1 + 0.485
step 8 Find the sum of above expression:
= 1 + 0.485
= 1.485
49/33 = 1.485
Hence,
49/33 as a decimal is 1.485
49/33 as a mixed number is 1 16/33