Crack The Code Math Page D46 Answers Life On The Lily Pad Dividing Fractionsl [Extra Quality]
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How to Solve the Crack The Code Math Puzzle on Page D46
If you are looking for a fun and challenging way to practice dividing fractions, you might want to try the Crack The Code Math puzzle on page D46 of the book Life On The Lily Pad. This puzzle requires you to find the missing digits in a series of fractions that are divided by each other. The fractions are arranged in a grid, and each row and column has a clue that tells you the product or quotient of the fractions in that row or column. You need to use logic and your knowledge of fraction division to fill in the blanks and crack the code.
Here are some tips to help you solve the puzzle:
Start with the clues that have only one blank. For example, in the first row, the clue is 1/2 = _ x 1/4. The only possible digit that can go in the blank is 2, since 1/2 = 2 x 1/4.
Use the clues that have two blanks to narrow down the possibilities for the other blanks. For example, in the second column, the clue is 2 x _ = _ x 3/4. The possible digits that can go in the first blank are 1, 2, 3, 4, 6, or 8, since they are all factors of 24. The possible digits that can go in the second blank are 3, 4, 6, 8, 9, or 12, since they are all multiples of 3/4. However, since we already know that the first blank in the first row is 2, we can eliminate 2 from the possible digits for the first blank in the second column. Similarly, we can eliminate 4 from the possible digits for the second blank in the second column.
Use trial and error to test different combinations of digits until you find one that works for all the clues. For example, if we try putting 3 in the first blank and 9 in the second blank in the second column, we get 2 x 3 = 9 x 3/4. This works for the clue, but it does not work for the third row, where the clue is _ x _ = 9/16. There is no pair of digits that can multiply to give 9/16. Therefore, we need to try a different combination of digits for the second column.
Check your answers by multiplying or dividing the fractions in each row and column and making sure they match the clues.
The solution to the puzzle is shown below:
We hope you enjoyed this math puzzle and learned something new about dividing fractions. For more puzzles like this one, check out Life On The Lily Pad, a book full of fun and engaging math activities for grades 4-6.
Dividing fractions is an important skill that you will need in many real-life situations. For example, if you want to share a pizza with your friends, you need to know how to divide fractions to find out how much each person gets. Or if you want to measure ingredients for a recipe, you need to know how to divide fractions to find out how much of each ingredient you need.
There are two ways to divide fractions: the invert and multiply method and the common denominator method. Both methods will give you the same answer, but some people prefer one method over the other. Let's see how each method works with an example.
Suppose you want to divide 3/4 by 1/2. That means you want to find out how many times 1/2 fits into 3/4.
The invert and multiply method involves flipping the second fraction and multiplying it by the first fraction. To flip a fraction, you swap the numerator and the denominator. For example, the flip of 1/2 is 2/1. Then you multiply the fractions by multiplying the numerators and multiplying the denominators. For example, 3/4 x 2/1 = (3 x 2) / (4 x 1) = 6/4. You can simplify the answer by dividing both the numerator and the denominator by their greatest common factor. For example, 6/4 can be simplified by dividing both 6 and 4 by 2, which gives 3/2. So, using the invert and multiply method, we get:
3/4 Ã 1/2 = 3/4 x 2/1 = 6/4 = 3/2
The common denominator method involves finding a common multiple of the denominators of both fractions and multiplying both fractions by that number. For example, a common multiple of 4 and 2 is 4, so we can multiply both fractions by 4. Then we divide the numerators of the fractions by the denominator of the second fraction. For example, (3/4 x 4) / (1/2 x 4) = (12/16) / (4/16) = 12 / 4 = 3. Then we write the answer as a fraction with the common denominator as the denominator. For example, 3 / (16 / 16) = 3 / 1 = 3/1. You can simplify the answer by dividing both the numerator and the denominator by their greatest common factor. For example, 3/1 can be simplified by dividing both 3 and 1 by 1, which gives 3/1. So, using the common denominator method, we get:
3/4 Ã 1/2 = (3/4 x 4) / (1/2 x 4) = (12/16) / (4/16) = 12 / 4 = 3 / (16 / 16) = 3 / 1 = 3/1
As you can see, both methods give us the same answer: 3/2 or 3/1. You can choose whichever method you like better or find easier to remember.
Now that you know how to divide fractions, you can try some more examples on your own or with a friend. You can also use online tools like calculators or fraction bars to check your answers or explore different fractions. Remember to always simplify your answers and have fun with math! aa16f39245