Question

6 2/3:2 7/9= 5 1/3:3 5/9= 6 2/5:1 7/9

Answer 1

6 2/3 : 2 7/9 = 20/3 : 25/9 = 20/3 * 9/25 = 12/5 = 2 2/5
5 1/3 : 3 5/9 = 16/3 : 32/9 = 16/3 * 9/32 = 3/2 = 1 1/2
6 2/5 : 1 7/9 = 32/5 : 16/9 = 32/5 * 9/16 = 18/5 = 3 3/5

Answer 2

To solve these three equations, we need to perform division of mixed fractions.

Let's take the first equation as an example:

6 2/3 : 2 7/9

Step 1: Convert mixed fractions to improper fractions. 6 2/3 = (6 * 3 + 2) / 3 = 20/3 2 7/9 = (2 * 9 + 7) / 9 = 25/9

Step 2: Invert the second fraction and multiply. 20/3 * 9/25 = 180/75

Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF). GCF of 180 and 75 is 15 180/15 = 12 75/15 = 5

So the answer is 12/5 or 2 2/5.

Now we can apply the same steps to solve the other two equations:

5 1/3 : 3 5/9 Step 1: Convert mixed fractions to improper fractions. 5 1/3 = (5 * 3 + 1) / 3 = 16/3 3 5/9 = (3 * 9 + 5) / 9 = 32/9

Step 2: Invert the second fraction and multiply. 16/3 * 9/32 = 144/96

Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF). GCF of 144 and 96 is 48 144/48 = 3 96/48 = 2

So the answer is 3/2 or 1 1/2.

6 2/5 : 1 7/9 Step 1: Convert mixed fractions to improper fractions. 6 2/5 = (6 * 5 + 2) / 5 = 32/5 1 7/9 = (1 * 9 + 7) / 9 = 16/9

Step 2: Invert the second fraction and multiply. 32/5 * 9/16 = 288/80

Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF). GCF of 288 and 80 is 16 288/16 = 18 80/16 = 5

So the answer is 18/5 or 3 3/5.