49/11 as a Decimal and Mixed Number
49/11 as a decimal and mixed number expansion provides the detailed information about what is 49/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
49/11 as a Decimal Expansion
49/11 = 4.4545
Hence,
49/11 as a decimal equals to 4.4545
where,
49/11 is a given fraction,
The decimal expansion of 49/11 is 4.4545
49/11 as a Mixed Number
49/11 = (44 + 5)/11
= 44/11 + 5/11
= 4 + 5/11
= 4 5/11
49/11 = 4 5/11
Hence,
49/11 as a mixed number is 4 5/11
where,
49/11 is a given fraction,
4 5/11 is the mixed number representation of 49/11.
How-to: 49/11 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 49/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 49/11
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 49/11.
step 2 The numerator is greater than the denominator of the fraction 49/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 49/11
= 44 + 5/11
= (4 x 11) + 5/11
step 3 Make the above expression as individual fractions:
= (4 x 11)/11 + 5/11
step 4 Simplify the above expression:
= 4 x 11/11 + 5/11
= 4 + 5/11
4 + 5/11 can be written as a mixed number 4 5/11.
step 5 Find the decimal equivalent for the fractional part 5/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 5/11.
= 4 + (5/11 x 100/100)
step 6 Simplify the above expression further:
= 4 + (500/11 x 1/100)
= 4 + (495 + 5/11 x 1/100)
= 4 + [(495/11 + 5/11 ) x 1/100]
= 4 + [(45 + 5/11) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/11 in the above expression:
= 4 + [(45 + 5/11) x 1/100]
= 4 + [(45 + 0.45) x 1/100]
= 4 + (45.45 x 1/100)
= 4 + 45.45/100
= 4 + 0.4545
step 8 Find the sum of above expression:
= 4 + 0.4545
= 4.4545
49/11 = 4.4545
Hence,
49/11 as a decimal is 4.4545
49/11 as a mixed number is 4 5/11