all you do to get equivalent fractions is that you either multiply the denominator and numerator by the same number or you divide the denominator and numerator by the same number. so in this case, since 4 and 7 aren't factors of each other it'd be easier to multiply. for THREE equivalent fraction you multiply 3 different numbers by 4 and 7. e.g. multiply with the number 2: 4(2)/7(2) 8/14 multiply with the number 3: 4(3)/7(3) 12/21 multiply with the number 4: 4(4)/7(4) 16/28 therefore 8/14, 12/21, and 16/28 can be three equivalent fractions of 4/7 hope it helped :)
if you multiply a number by 1, you get the same number, right? 2/2 is equal to 1, right? so, 4/7 * 2/2 = 4/7, because you're just multiplying 4/7 by 1. 7 4 ∗ 2 2 = 7 ∗ 2 4 ∗ 2 = 14 8 by multiplying by a fraction that was equivalent to 1, you made an equivalent fraction. in other words, you multiplied the top and the bottom by the same number. so: 4/7 = 8/14 = 12/21 = 16/28 et cetera
To find three fractions equivalent to 7 4 , multiply both the numerator and denominator by the same whole numbers. For example, multiplying by 2 gives 14 8 , by 3 gives 21 12 , and by 4 gives 28 16 . Thus, three equivalent fractions are 14 8 , 21 12 , and 28 16 .
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