Evaluate the expression.
(1)1/3 divided by 1/6= 2 Answer
(2)6 divided by 2/5= 15 Answer
(3) 4/9 divided by 2/3 dividied by 5/6= Answer 4/5
(4) 7/8 mulitplied by 4/5 divided 7/20=Answer 2
Please help Ms. Sue
The first two are correct.
Sure, I'd be happy to help you evaluate these expressions step by step.
(1) 1/3 divided by 1/6:
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/6 is 6/1.
So, (1/3) ÷ (1/6) = (1/3) x (6/1) = 6/3 = 2.
Therefore, the answer is 2.
(2) 6 divided by 2/5:
To divide a whole number by a fraction, you multiply the whole number by the reciprocal of the fraction.
So, 6 ÷ (2/5) = 6 x (5/2) = 30/2 = 15.
Therefore, the answer is 15.
(3) 4/9 divided by 2/3 divided by 5/6:
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction and then multiply the result by the reciprocal of the third fraction.
(4/9) ÷ (2/3) ÷ (5/6) = (4/9) x (3/2) x (6/5) = (4 x 3 x 6) / (9 x 2 x 5) = 72/90 = 4/5.
Therefore, the answer is 4/5.
(4) 7/8 multiplied by 4/5 divided by 7/20:
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. To multiply fractions, you multiply the numerators together and the denominators together.
(7/8) x (4/5) ÷ (7/20) = (7/8) x (4/5) x (20/7) = (7 x 4 x 20) / (8 x 5 x 7) = 560/280 = 2.
Therefore, the answer is 2.
I hope this helps!
Sure, I can help you evaluate these expressions. Let's go step by step:
(1) To evaluate (1/3) divided by (1/6), you can follow these steps:
- First, we will simplify the expression by multiplying the numerator and the denominator by the reciprocal (or multiplicative inverse) of the denominator:
(1/3) divided by (1/6) = (1/3) multiplied by (6/1)
- Then, multiply the numerators and the denominators:
(1/3) multiplied by (6/1) = (1 * 6) / (3 * 1) = 6/3 = 2
Therefore, the answer is 2.
(2) To evaluate 6 divided by (2/5):
- Similar to the previous example, we will simplify by multiplying the numerator and the denominator by the reciprocal of the denominator:
6 divided by (2/5) = 6 multiplied by (5/2)
- Now, multiply the numerators and the denominators:
6 multiplied by (5/2) = (6 * 5) / (1 * 2) = 30/2 = 15
So, the answer is 15.
(3) To evaluate (4/9) divided by (2/3) divided by (5/6):
- Here, we need to divide one fraction at a time. Let's start by dividing (4/9) by (2/3):
(4/9) divided by (2/3) = (4/9) multiplied by (3/2)
- Multiply the numerators and the denominators:
(4/9) multiplied by (3/2) = (4 * 3) / (9 * 2) = 12/18
- Next, divide the result by (5/6):
(12/18) divided by (5/6) = (12/18) multiplied by (6/5)
- Multiply the numerators and the denominators:
(12/18) multiplied by (6/5) = (12 * 6) / (18 * 5) = 72/90
- Finally, simplify the fraction:
72/90 = 4/5
So, the answer is 4/5.
(4) To evaluate (7/8) multiplied by (4/5) divided by (7/20):
- Here, we need to multiply the first two fractions and then divide the result by the third fraction:
(7/8) multiplied by (4/5) divided by (7/20) = [(7/8) multiplied by (4/5)] divided by (7/20)
- Multiply the numerators and the denominators of the first two fractions:
(7/8) multiplied by (4/5) = (7 * 4) / (8 * 5) = 28/40
- Next, divide the result by (7/20):
(28/40) divided by (7/20) = (28/40) multiplied by (20/7)
- Multiply the numerators and the denominators:
(28/40) multiplied by (20/7) = (28 * 20) / (40 * 7) = 560/280
- Simplify the fraction:
560/280 = 2
So, the answer is 2.
I hope this helps!