Multiply and reduce to simplest form.
3 and three-fifths times 9 and six-sevenths
(1 point)
Responses
27 and eighteen-thirty-fifths
Image with alt text: 27 and eighteen-thirty-fifths
2 and seventeen-thirty-fifths
Image with alt text: 2 and seventeen-thirty-fifths
35 and seventeen-thirty-fifths
Image with alt text: 35 and seventeen-thirty-fifths
13 and sixteen-thirty-fifths
To multiply and reduce to simplest form, we can follow these steps:
Step 1: Convert the mixed numbers to improper fractions:
3 and three-fifths = (3*5 + 3)/5 = 18/5
9 and six-sevenths = (9*7 + 6)/7 = 69/7
Step 2: Multiply the fractions:
(18/5) * (69/7) = (18*69)/(5*7) = 1242/35
Step 3: Reduce the fraction to its simplest form:
1242/35 = 35 and 17/35
Therefore, the answer is 35 and seventeen-thirty-fifths.
To multiply 3 and three-fifths by 9 and six-sevenths, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
3 and three-fifths = 3 + 3/5 = (3 * 5 + 3) / 5 = 18/5
9 and six-sevenths = 9 + 6/7 = (9 * 7 + 6) / 7 = 69/7
Step 2: Multiply the numerators and denominators of the fractions.
(18/5) * (69/7) = (18 * 69) / (5 * 7) = 1242/35
Step 3: Simplify the fraction to its simplest form.
To simplify 1242/35, find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 1242 and 35 is 1.
Therefore, the final answer, in simplest form, is 1242/35.
To multiply and reduce the fractions, you need to follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
3 and three-fifths can be written as 3 + 3/5. To convert to an improper fraction, multiply the whole number (3) by the denominator (5) and add the numerator (3). The result is 18/5.
9 and six-sevenths can be written as 9 + 6/7. To convert to an improper fraction, multiply the whole number (9) by the denominator (7) and add the numerator (6). The result is 69/7.
Step 2: Multiply the two fractions.
To multiply fractions, multiply the numerators (18 * 69) to get the new numerator, and multiply the denominators (5 * 7) to get the new denominator. The result is (18 * 69)/(5 * 7).
Step 3: Simplify the resulting fraction.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. In this case, the GCD of 18 and 5 is 1, and the GCD of 69 and 7 is also 1. So, we can simplify (18 * 69)/(5 * 7) to 18/35.
Therefore, the product of 3 and three-fifths times 9 and six-sevenths is 18/35, which can be written as 2 and seventeen-thirty-fifths.