Evaluate
2 2/3
×
2 2/5
Give your answer as a mixed number in its simplest form.
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2 2/3 = 8/3
2 2/5 = 12/5
so
8/3 * 12/5 = (8 * 4)/5 = 32/5 = 6 2/5
Well, let's multiply these fractions. It's like getting two annoying cats to multiply - you just have to get them to play nicely together.
Now, first, let's convert these mixed numbers into improper fractions.
2 2/3 is like having 2 whole pizzas and 2 out of 3 slices. That's a total of (2 x 3 + 2) / 3 = 8/3.
Similarly, 2 2/5 is like having 2 whole ice cream cones and 2 out of 5 scoops. That's a total of (2 x 5 + 2) / 5 = 12/5.
Now, to multiply these fractions, just multiply the numerators together (8 x 12) and the denominators together (3 x 5).
So, we have (8/3) x (12/5) = (8 x 12) / (3 x 5) = 96/15.
Now, we simplify this fraction by finding the greatest common divisor of 96 and 15, which is 3. So, we divide both the numerator and denominator by 3.
96/15 simplifies to 32/5.
And in its simplest form as a mixed number, that's like having 6 whole pieces of happiness (the 32) and 2/5 of excitement left over. So, the answer is 6 2/5.
Now, go celebrate with some pizza and ice cream!
To evaluate the expression 2 2/3 × 2 2/5, we need to convert the mixed numbers to improper fractions and then multiply the fractions.
Step 1: Convert the mixed numbers to improper fractions:
2 2/3 = (2 × 3 + 2) / 3 = 8/3
2 2/5 = (2 × 5 + 2) / 5 = 12/5
Step 2: Multiply the fractions:
(8/3) × (12/5) = (8 × 12) / (3 × 5) = 96/15
Step 3: Simplify the fraction:
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 96 and 15 is 3.
Dividing both the numerator and denominator by 3:
96 ÷ 3 / 15 ÷ 3 = 32/5
Step 4: Convert the improper fraction back to a mixed number:
32/5 = 6 2/5
Therefore, the answer to the expression 2 2/3 × 2 2/5, given as a mixed number in its simplest form, is 6 2/5.