Multiply and reduce to simplest form.
2 over 5 times 3 over 4
(1 point)
Responses
three-tenths
Image with alt text: three-tenths
Image with alt text:
three-fifths
Image with alt text: three-fifths
two-thirds
To multiply 2/5 by 3/4, we multiply the numerators (2 * 3) to get 6 and multiply the denominators (5 * 4) to get 20.
So, 2/5 times 3/4 is 6/20.
To reduce this to the simplest form, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
Dividing 6 by 2, we get 3 and dividing 20 by 2, we get 10.
Therefore, 6/20 in simplest form is 3/10.
So, the answer is three-tenths.
To multiply and reduce the fraction, 2/5 times 3/4, you can follow these steps:
Step 1: Multiply the numerators (top numbers) together: 2 * 3 = 6.
Step 2: Multiply the denominators (bottom numbers) together: 5 * 4 = 20.
Step 3: The product becomes the new numerator and the product of the denominators becomes the new denominator: 6/20.
Step 4: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 6 and 20 is 2.
Step 5: Divide both the numerator and denominator by the GCD: 6 ÷ 2 = 3 and 20 ÷ 2 = 10.
Step 6: The simplified fraction in its simplest form is 3/10.
Therefore, 2/5 times 3/4 equals 3/10.
To multiply fractions and reduce them to simplest form, follow these steps:
Step 1: Multiply the numerators (top numbers) together: 2 * 3 = 6.
Step 2: Multiply the denominators (bottom numbers) together: 5 * 4 = 20.
Step 3: Write the product, 6, as the numerator of the new fraction.
Step 4: Write the product, 20, as the denominator of the new fraction.
Step 5: Check if the fraction can be simplified. In this case, it can be simplified because both the numerator and denominator share a common factor of 2.
Step 6: Divide both the numerator and denominator by their greatest common factor, which is 2.
6 ÷ 2 = 3 (new numerator)
20 ÷ 2 = 10 (new denominator)
Step 7: The simplified fraction is 3/10, which means the answer is three-tenths.