To solve the given fraction multiplications, we calculate each expression and match the results to their corresponding letters. The final message formed from the letters is L E O E. Thus, the intended message is L E O E.
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Calculate each fraction multiplication.
Convert improper fractions to mixed numbers.
Match each result to its corresponding letter.
Combine the letters to form the message: I L E L OEFO .
Explanation
Problem Analysis We need to calculate the results of 16 multiplication problems involving fractions and mixed numbers. Then, we match the results to corresponding letters and form a message.
Calculations and Letter Matching
4 11 × 7 6 = 4 × 7 11 × 6 = 28 66 = 14 33 = 2 14 5 . The corresponding letter is I.
5 3 × 2 21 = 5 × 2 3 × 21 = 10 63 = 6 10 3 . There is no corresponding letter.
7 5 × 7 14 = 7 × 7 5 × 14 = 49 70 = 7 10 = 1 7 3 . There is no corresponding letter.
5 3 × 125 = 5 3 × 125 = 3 × 25 = 75 . The corresponding letter is L.
4 3 × 3 4 = 4 × 3 3 × 4 = 12 12 = 1 . The corresponding letter is E.
5 12 × 4 31 = 5 × 4 12 × 31 = 20 372 = 5 93 = 18 5 3 . There is no corresponding letter.
3 22 × 4 3 = 3 × 4 22 × 3 = 12 66 = 2 11 = 5 2 1 . There is no corresponding letter.
5 34 × 12 5 = 5 × 12 34 × 5 = 60 170 = 6 17 = 2 6 5 . There is no corresponding letter.
6 5 × 2 = 6 5 × 2 = 6 10 = 3 5 = 1 3 2 . The corresponding letter is L.
4 1 × 76 = 4 76 = 19 . The corresponding letter is O.
3 42 × 4 51 = 1 14 × 4 51 = 4 714 = 2 357 = 178 2 1 . There is no corresponding letter.
3 2 × 60 = 3 2 × 60 = 2 × 20 = 40 . The corresponding letter is E.
4 43 × 5 4 = 4 × 5 43 × 4 = 5 43 = 8 5 3 . The corresponding letter is F.
4 33 × 9 57 = 4 11 × 3 57 = 4 11 × 19 = 4 209 = 52 4 1 . There is no corresponding letter.
8 3 × 72 = 8 3 × 72 = 3 × 9 = 27 . The corresponding letter is O.
5 62 × 2 21 = 5 31 × 1 21 = 5 651 = 130 5 1 . There is no corresponding letter.
Forming the Message The letters corresponding to the answers are I, L, E, L, O, E, F, O. Therefore, the message is I L E L O E F O.
Final Answer The message formed by the corresponding letters is I L E L O E F O.
Examples
Understanding fraction multiplication is crucial in many real-life scenarios, such as scaling recipes. For instance, if a recipe calls for 3 2 cup of flour and you want to double the recipe, you need to multiply 3 2 by 2, resulting in 3 4 or 1 3 1 cups of flour. This skill is also essential in calculating proportions, discounts, and various measurements in cooking, construction, and other fields.