i need help on adding and subtacting rational numbers like -7over12+5 over 6
When adding rational numbers we need a common denominator. We have
-7/12 + 5/6
What is the least common multiple of 12 and 6? After you find that make sure both fractions are expressed as a ratio of some number to the lcm, then add the numerators, or in this case subtract one of them from the other.
ok
To add or subtract rational numbers, we follow these steps:
1. Identify the denominators of the given fractions. In this case, we have 12 and 6.
2. Determine the least common multiple (LCM) of the denominators. The LCM of 12 and 6 is 12, as it is the smallest number that both 12 and 6 can evenly divide into.
3. Express each fraction so that its denominator is the LCM of the two given denominators. To do this, divide the LCM by the original denominator and multiply both the numerator and denominator of the fraction by the result.
- For -7/12, multiply both the numerator and denominator by 1 (12/12) to obtain -7/12 * 1 = -7/12.
- For 5/6, multiply both the numerator and denominator by 2 (12/6) to obtain 5/6 * 2 = 10/12.
4. Now that both fractions have a common denominator of 12, we can add or subtract them by performing the operation on their numerators:
- -7/12 + 10/12 = (10 - 7)/12 = 3/12.
5. Simplify the resulting fraction, if necessary, by finding the greatest common divisor (GCD) of the numerator and the denominator. In this case, both 3 and 12 can be divided evenly by 3, so the simplified fraction is:
- 3/12 = 1/4.
Therefore, -7/12 + 5/6 equals 1/4.