Math help???
1.) 13 1/3 divided by 6 2/9
2.) 15 * 4 2/3
3.) 10 2/3 divided by 4
1= 82 26/27
2=70
3=2 2/3
1. 13 1/3 / 6 2/9 =
(40/3) / (56/9) =
40/3 * 9/56 = 15/7 = 2 1/7.
2. 15 * 4 2/3 =
15 * 14/3 = 70.
3. (10 2/3) / 4 =
(32/3) / 4 =
32/3 * 1/4 = 8/3 = 2 2/3.
Sure, I can help you with these math problems!
1.) To divide 13 1/3 by 6 2/9, you can follow these steps:
- First, convert the mixed numbers into improper fractions.
13 1/3 = (13 * 3 + 1) / 3 = 40/3
6 2/9 = (6 * 9 + 2) / 9 = 56/9
- Next, invert the second fraction and change the division sign to multiplication.
40/3 / 56/9 = 40/3 * 9/56
- Then, multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
40 * 9 / 3 * 56 = 360/168
- Finally, simplify the fraction, if possible. In this case, you can divide both the numerator and denominator by their greatest common divisor (GCD), which is 8.
360/168 = (360/8) / (168/8) = 45/21 = 15/7
Therefore, 13 1/3 divided by 6 2/9 equals 15/7.
2.) To multiply 15 by 4 2/3, follow these steps:
- First, convert the mixed number into an improper fraction.
4 2/3 = (4 * 3 + 2) / 3 = 14/3
- Next, multiply the whole number (15) by the numerator (14) and add the product to the product of the denominators (3).
15 * (14/3) = (15 * 14) / 3 = 210/3
- Then, simplify the fraction, if possible. In this case, the numerator is divisible by 3.
210/3 = 70
Therefore, 15 multiplied by 4 2/3 equals 70.
3.) To divide 10 2/3 by 4, you can use the following steps:
- First, convert the mixed number to an improper fraction.
10 2/3 = (10 * 3 + 2) / 3 = 32/3
- Next, divide the numerator (32) by the denominator (3).
32/3 / 4 = 32/3 * 1/4
- Then, multiply the numerators and the denominators.
32 * 1 / 3 * 4 = 32/12
- Finally, simplify the fraction, if possible. Both the numerator and denominator are divisible by 4.
32/12 = (32/4) / (12/4) = 8/3
Therefore, 10 2/3 divided by 4 equals 8/3.