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4 1/3 - 3 4/9 aswer pla ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

1 Answer

2 votes

Answer:

8/9

Explanation:

Step 1: Convert both 4 1/3 and 3 4/9 to improper fractions:

  • Both 4 1/3 and 3 4/8 are mixed numbers with a whole number (4 and 3) and a fraction (1/3 and 4/9).
  • We can convert them to improper fractions by making a new fraction where the numerator is the product of the whole number and the denominator. We add the original numerator to that product and keep the original denominator.

Converting 4 1/3 to an improper fraction:

For 4 1/3, we'll mutiply 4 by 3, add 1 to that, and keep 3 as the denominator:

((4 * 3) + 1) / 3

((12 + 1) / 3

13/3

Thus, 4 1/3 as an improper fraction is 13/3.

Converting 3 4/9 to an improper fraction:

For 3 4/9, we'll multiply 3 by 9, add 4 to that, and keep 9 as the denominator:

((3 * 9) + 4) / 9

(27 + 4) / 9

31/9

Thus, 3 4/9 as an improper fraction is 31/9.

Finding the difference of 13/3 and 31/9:

  • Since 4 1/3 is equivalent to 13/3 and 3 4/9 is equivalent to 31/9, our new equation is 13/3 - 31/9.
  • We can subtract straight across by giving the fractions the same denominator.
  • We see that one denominator is 3 and the other is 9
  • Since 9 is a multiple of 3, we can make 13/3 out of 9 by multiplying the entire fraction by 3/3:

(13/3) * (3/3) = 39/9

Now, we simply subtract 31/9 from 39/9:

39/9 - 31/9

8/9

Thus, 4 1/3 - 3 4/9 = 8/9.

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