Multiply 2 1/3 by 2 1/5 . Convert the product to be a mixed number.(1 point)
To multiply the fractions 2 1/3 and 2 1/5, you first need to convert them to improper fractions.
To convert the mixed number 2 1/3 to an improper fraction, multiply the whole number (2) by the denominator (3), then add the numerator (1). This gives you a numerator of 7. The denominator remains the same (3). So, 2 1/3 is equal to 7/3.
To convert the mixed number 2 1/5 to an improper fraction, multiply the whole number (2) by the denominator (5), then add the numerator (1). This gives you a numerator of 11. The denominator remains the same (5). So, 2 1/5 is equal to 11/5.
Next, you can multiply the two fractions together: (7/3) * (11/5).
To multiply the two fractions, multiply the numerators (7 * 11) to get 77, and multiply the denominators (3 * 5) to get 15. So, (7/3) * (11/5) is equal to 77/15.
Lastly, you can convert the product back to a mixed number. Divide the numerator (77) by the denominator (15), which gives you a quotient of 5 with a remainder of 2.
Therefore, the product 77/15 can be written as the mixed number 5 2/15.
Multiply 4 by 2 3/7 . Convert the product to be a mixed number.
To multiply 4 by 2 3/7, we first convert 2 3/7 into an improper fraction.
To convert the mixed number 2 3/7 to an improper fraction, we multiply the whole number (2) by the denominator (7) and add the numerator (3). This gives us a numerator of 17. The denominator remains the same (7). So, 2 3/7 is equal to 17/7.
Next, we multiply 4 by 17/7: 4 * 17/7.
To multiply the two fractions, we multiply the numerators (4 * 17) to get 68, and multiply the denominators (1 * 7) to get 7. So, 4 * 17/7 is equal to 68/7.
Lastly, we convert the product back to a mixed number. We divide the numerator (68) by the denominator (7), which gives a quotient of 9 with a remainder of 5.
Therefore, the product 68/7 can be written as the mixed number 9 5/7.
Multiply 2/3 by 1 2/9 .
To multiply 2/3 by 1 2/9, we first convert 1 2/9 into an improper fraction.
To convert the mixed number 1 2/9 to an improper fraction, we multiply the whole number (1) by the denominator (9) and add the numerator (2). This gives us a numerator of 11. The denominator remains the same (9). So, 1 2/9 is equal to 11/9.
Next, we multiply 2/3 by 11/9: (2/3) * (11/9).
To multiply the two fractions, we multiply the numerators (2 * 11) to get 22, and multiply the denominators (3 * 9) to get 27. So, (2/3) * (11/9) is equal to 22/27.
Finally, the product 22/27 cannot be reduced any further, so it remains as a fraction.
Therefore, 2/3 multiplied by 1 2/9 is equal to 22/27.