Evaluate
2 2/3
×
2 2/5
Give your answer as a mixed number in its simplest form.
anyone know this?
4 1/15
the answers 4 1/15
thank you, lana but i had the answer already, its at the top
oh okay @zane
i just realised that @ signs don't work
2 2 / 3 = 2 + 2 /3 =
6 / 3 + 2 / 3 = 8 / 3
2 2/5 = 2 + 2 / 5 =
10 / 5 + 2 / 5 = 12 / 5
When multiplying fractions, simply multiply the numerators together and then multiply the denominators together.
2 2/3 • 2 2/5 = ( 8 / 3 ) • 12 / 5 =
8 • 12 / 3 • 5 = 96 / 15 =
( 90 + 6 ) / 15 = 90 / 15 + 6 / 15 =
6 + 6 / 15 = 6 + 3 • 2 / 3 • 5 =
6 + 2 / 5 = 6 2/5
To evaluate the expression 2 2/3 × 2 2/5 and provide the answer as a mixed number in its simplest form, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
To convert 2 2/3 to an improper fraction, multiply the whole number (2) by the denominator (3) and add the numerator (2) to get the new numerator. The new fraction is (2 × 3 + 2) / 3 = 8/3.
Similarly, for 2 2/5, multiply the whole number (2) by the denominator (5) and add the numerator (2) to get the new numerator. The new fraction is (2 × 5 + 2) / 5 = 12/5.
Step 2: Multiply the two fractions.
To multiply the fractions 8/3 and 12/5, multiply the numerators (8 × 12) to get the new numerator and multiply the denominators (3 × 5) to get the new denominator. The result is (8/3) × (12/5) = (8 × 12) / (3 × 5) = 96/15.
Step 3: Simplify the fraction.
To simplify the fraction 96/15, find the greatest common divisor (GCD) of the numerator and denominator, and divide both by that number. In this case, the GCD is 3. Dividing 96 and 15 by 3 gives us 32/5.
Step 4: Convert the improper fraction to a mixed number (if needed).
To convert the improper fraction 32/5 to a mixed number, divide the numerator (32) by the denominator (5). The quotient is the whole number, and the remainder becomes the new numerator. The remainder is 2, so the mixed number is 6 2/5.
Therefore, the expression 2 2/3 × 2 2/5 simplifies to the mixed number 6 2/5.