How do I add fractions when the denominators are different?
When you have two or more fractions with different denominators, you need to find the least common denominator. This LCD is the same is finding the least common multiple between the denominators. The least common multiple can be found by multiplying a number by 1, 2, 3, 4, ...etc. For example: The LCM for the numbers 4 and 6 can be found by listing the multiples of each... 4: ...4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48... 6: ...6, 12, 18, 24, 30, 36, 42, 48... We notice that 4 and 6 have many common multiples, however, we are looking for the LEAST common multiple. In that case, we notice that the LCM is 12. Now, if we've established that the LCD is interchangeable with LCM, we should be able to solve the following example: Example: 1 2 __ + ___ 4 6 By finding the least common multiple of 4 and 6, we can confirm that the LCD should be 12. In order to make the denominator 12, we need to multiply the original denominators by the appropriate factor that will get us to 12, and then multiply the corresponding numerator by that same factor. 1/4 ... what can 4 be multiplied by in order to get to 12? ANSWER: 3 1*3 = 3 ____ ___ 4*3 = 12 2/6 ... what can 6 be multiplied by in order to get to 12? ANSWER: 2 2*2 = 4 ____ ___ 6*2 = 12 We are now able to add our numerators (only) across: 3 4 7 __ + ___ = ___ 12 12 12 7/12 is your final answer.
How do you suggest I study for my upcoming exam?
1. Invest in a variety of highlighters if you do not already own six or more. 2. Gather every source of information that your professor makes available to you - determine which follows the lecture most accurately. (PPT, lecture notes, textbook, homework assignments, etc.) Note: If a powerpoint download is available, scroll down to the "notes" section. Sometimes this will have very important information from the textbook and lecture that may not be on the slide. Even if a term or concept is on the slide, the notes section may have a elaborate explanation of it. 3. Read through and highlight what you remember from the lecture or what you notice overlaps from one source to another (probably important). If your professor gives you a study guide or potential exam questions, only highlight what is relevant. 4. Take out a crisp white sheet of printer paper and go back through everything you highlighted. Pretend this is your 'cheat sheet' for your next exam. Jot down all of what you highlighted, but write it in your own words as if you are describing it to somebody else. Draw tables and diagrams. Write practice problems and label the steps you took to solve it. 5. Now highlight KEY words from your cheat sheet that you can quickly and easily identify. 6. Color code. i.e. Information from CH 3 is highlighted pink, CH 4 is green, and so forth. You've just condensed everything you need to know into one visually appealing sheet of paper. Have fun!
How do revenues and expenses affect stockholder equity?
Revenues and Expenses are used to generate the total Net Income. (Revenues MINUS Expenses = NI) Each of these figures are found on the first financial statement, the Income Statement. The Net Income is then pulled from the Income Statement and used on the second financial statement, the Statement of Retained Earnings: (Beginning RE PLUS Net Income, MINUS dividends = Ending RE) Ending Retained Earnings is then used to determine stockholder equity, found on the third financial statement, the Balance Sheet: Stockholder equity = capital received from stockholders PLUS retained earnings. Now that we can see the correlation between the figures, we can conclude that: 1) an increase in revenues will increase net income, so an increase in net income will increase retained earnings, therefore stockholder equity will increase. 2) an increase in expenses will decrease net income, so a decrease in net income will decrease retained earnings, therefore stockholder equity will decrease. 3) a decrease in revenues will decrease net income, so a decrease in net income will decrease retained earnings, therefore stockholder equity will decrease. 4) a decrease in expenses will increase net income, so an increase in net income will increase retained earnings, therefore stockholder equity will increase.