hello! i need help with number 18, 19, and 20 on a unit test, im a little stumped since i skiped a few grades. my newest friend told me to go to this website.
#18: 2 and 1 over 7, times, 3 over 4
#19: 6 over 7, divide, 1 over 4
#20: negitave 5 over 3, divide, negitive, 15 over 7
thank you!
~ellie
it would help if you used real notation. I shall guess, and if I get it wrong, I'm sure you can fix it and correct the results.
#18: 2 and 1 over 7, times, 3 over 4
2 1/7 * 3/4 = 15/7 * 3/4 = 45/28
#19: 6 over 7, divide, 1 over 4
6/7 ÷ 1/4 = 6/7 * 4/1 = 24/7
#20: negitave 5 over 3, divide, negitive, 15 over 7
-5/3 ÷ -15/7 = -5/3 * -7/15 = 35/45 = 7/9
thank you, i will remember to use real notations next time!
~Ellie
Hello Ellie! I'd be happy to help you with questions 18, 19, and 20 on your unit test. Let's tackle them one by one.
#18: To multiply fractions, you simply multiply the numerators (the numbers on top) together and multiply the denominators (the numbers on the bottom) together. For the first problem, you have 2 and 1 over 7 times 3 over 4.
So, you would multiply 2 times 3 to get 6 as the numerator and 1 times 7 times 4 as the denominator. This simplifies to 6 over 28, or the simplified form is 3 over 14.
#19: To divide fractions, you flip the second fraction and then multiply the two fractions together. In this problem, you have 6 over 7 divided by 1 over 4.
To flip the second fraction, you would have 6 over 7 times 4 over 1. Then, you multiply the numerators (6 and 4) together and the denominators (7 and 1) together. This gives you 24 over 7 as the final answer.
#20: Similar to question 19, you'll need to divide the two fractions. However, there is the additional complexity of negative numbers. For the problem negative 5 over 3 divided by negative 15 over 7, you first flip the second fraction to get negative 5 over 3 times 7 over negative 15.
Then, multiply the numerators (-5 and 7) together and the denominators (3 and -15) together. This gives you (-5 times 7) over (3 times -15), which simplifies to -35 over -45.
To further simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5 in this case. After dividing both numbers by 5, you get 7 over 9 as the final answer.