strawberries for a recipe. He wants to find whether he needs more bananas or more strawberries. How can he write \( \frac{5}{6} \) and \( \frac{3}{4} \) as a pair of fractions with a common denominator? (4.NF.A.1)
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To find a common denominator for \( \frac{5}{6} \) and \( \frac{3}{4} \), he can first identify the least common multiple (LCM) of the denominators, which are 6 and 4. The LCM of 6 and 4 is 12. Now, he can convert both fractions to have a denominator of 12: - For \( \frac{5}{6} \): multiply the numerator and denominator by 2 to get \( \frac{10}{12} \). - For \( \frac{3}{4} \): multiply the numerator and denominator by 3 to get \( \frac{9}{12} \). Now he has \( \frac{10}{12} \) and \( \frac{9}{12} \) to compare! To make it even more fun, think of it this way: converting fractions is like preparing ingredients to bake a cake. You want everything to mix perfectly! Just like measuring out your strawberries and bananas, you’re making sure these fractions blend together nicely with a common denominator. Happy baking (and fraction making)!