how do I solve 1 2/3 + 1/6. not coming up with the answers they are giving
5x6 +1x3/3x6
30+3/18
33/18 = 11/6 = 1 5/6 (my equations)
their ans. 9/16, 11/6, 16/22, 22/12 and 33/18 help
1 2/3 + 1/6
1 4/6 + 1/6 = 1 5/6 = 11/6
1 2/3 + 1/6
lets work with the mixed number first.
1 2/3 is equal to 5/3.
now we have:
5/3 + 1/6
But their denominators arent the same!
so, you multiply by 2 so that the 5/3 fraction can become sixths.
so, 5x2/3x2
this becomes 10/6
so, now we have 2 frations with the same denominator, which means we can add them now.
10/6 + 1/6 = 11/6, which is 1 5/6.
12/3+1/6
=24+1/6
=25/6
To solve the expression 1 2/3 + 1/6, you'll need to convert the mixed number 1 2/3 to an improper fraction before adding.
To convert the mixed number to an improper fraction:
1) Multiply the whole number (1) by the denominator of the fraction (3): 1 x 3 = 3.
2) Add the result from step 1 to the numerator (2): 3 + 2 = 5.
3) Write the sum from step 2 as the new numerator over the original denominator: 5/3.
Now that you have converted 1 2/3 to the improper fraction 5/3, you can proceed with the addition:
1 2/3 + 1/6 = 5/3 + 1/6.
To add fractions, you need a common denominator:
Since the denominators are 3 and 6, the common denominator is the lowest common multiple of 3 and 6, which is 6.
Next, you need to express both fractions with the common denominator:
5/3 can be rewritten as 10/6 (by multiplying the numerator and denominator of 5/3 by 2).
1/6 remains as 1/6.
Now you can add the fractions with the common denominator:
10/6 + 1/6 = 11/6.
The correct answer is 11/6 or 1 5/6.
The answer choices you provided are:
- 9/16: This is not related to the given expression.
- 11/6: This is the correct answer.
- 16/22: This is not related to the given expression.
- 22/12: This is not related to the given expression.
- 33/18: This is the same answer as 11/6, but written in a different form.
Therefore, the correct answer is 11/6 or 1 5/6.