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Change these fractions into equivalent fractions, having the LCD as the denominator. (Write over the gray example.) 3 3- 4 15 14 21 6 21 (19) 4 (20) 3 10 7 45 (21) 2 7 1 5 5679 (22) 5 (23) 1 12 78 2 8 23 32 (24) 2. 10​

User Ragebunny
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Final answer:

To convert fractions to equivalent fractions with the LCD, find the LCD, multiply both the numerator and denominator of each fraction to get the new denominator as the LCD, and then simplify the fractions.

Step-by-step explanation:

To change fractions into equivalent fractions with the Lowest Common Denominator (LCD) as the denominator, you must first determine the LCD for the given fractions.

Once the LCD is found, you multiply the numerator and denominator of each fraction by the same number so the fractions have the LCD as their new denominator.

For example, if we have the fractions 3/4 and 14/21, we first find the LCD, which in this case is 84. Then we convert each fraction: we multiply the numerator and denominator of the first fraction (3/4) by 21 (because 4 x 21 = 84) to get 63/84, and multiply the numerator and denominator of the second fraction (14/21) by 4 (because 21 x 4 = 84) to get 56/84.

Remember to always simplify the fractions if there are any common factors in the numerator and denominator after changing to the LCD.

User Erakitin
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