Answer:
The first example is adding fractions. The last is Subtraction.
Step-by-step explanation:
The first step is finding the LCD or Least Common Denominator. In this case, we multiply both denominators by each other 2 x 3 = 6 before we proceed.
Secondly, we multiply the bottom denominator on the right (which is three) and multiply it by numerator and denominator on the left.
[tex]\frac{1}{2}[/tex] x 3= Multiply the numerator and denominator and you should get this
[tex]\frac{3}{6}[/tex]
Next multiply [tex]\frac{1}{3}[/tex] by 2. You should get [tex]\frac{2}{6}[/tex]
The final step is just to add the numbers on the very top. You should get [tex]\frac{5}{6}[/tex]
*Also note, pay attention to your question. Some may require decimal form or simplification.
1. [tex]\frac{1}{2} + \frac{1}{3} = \frac{5}{6}[/tex]
2. [tex]\frac{3}{6}[/tex] +[tex]\frac{2}{6}[/tex] = [tex]\frac{5}{6}[/tex]
3. The answer is [tex]\frac{5}{6}[/tex]
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The next example is subtraction.
Find the LCD.
Next, start by multiplying [tex]\frac{3}{5}[/tex] by 3. Penultimately, multiply [tex]\frac{1}{3}[/tex] by 5. Finally, subtract 9-5 to get 4. The answer should be [tex]\frac{4}{15}[/tex]
1. [tex]\frac{3}{5} - \frac{1}{3}[/tex]
2. [tex]\frac{9}{15}[/tex] - [tex]\frac{5}{15}[/tex] = [tex]\frac{4}{15}[/tex]
