1. 1/6+5/7=6/7
2. 3/10+3/10=3/5
3. 2/9+(-4/9)=-2/9
Do you have a typo in number 1?
Your other answers are right.
1. 1/7+5/7=6/7. Yes, it was a typo.
Right.
Thanks.
You're welcome.
To solve these addition problems with fractions, we need to find a common denominator and then add the fractions together. Here's how we can find the answers step by step:
1. To add 1/6 and 5/7:
- Find the least common multiple (LCM) of 6 and 7, which is 42.
- Convert both fractions so they have a denominator of 42:
1/6 becomes 7/42 (multiplied by 7/7)
5/7 becomes 30/42 (multiplied by 6/6)
- Now that the fractions have the same denominator, we can add them:
7/42 + 30/42 = 37/42
- The simplified answer is 37/42.
2. To add 3/10 and 3/10:
- The denominators are already the same, so we can directly add the numerators:
3 + 3 = 6
- The denominator remains unchanged:
10
- The simplified answer is 6/10, which can be further reduced to 3/5 by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
3. To add 2/9 and -4/9:
- The denominators are already the same, so we can add the numerators:
2 + (-4) = -2
- The denominator remains unchanged:
9
- The simplified answer is -2/9.
In summary:
1. 1/6 + 5/7 = 37/42
2. 3/10 + 3/10 = 3/5
3. 2/9 + (-4/9) = -2/9