Question

⅓*2/5 7/16*1⅓ 10*5/12 3/7:⅔ 4/11:8 (2¼)² 7-1 4/5*(1¼+1/12):3 Плиз!! Хелп ми!!!)

Answer 1

⅓*2/5=2/15
7/16*1⅓=7/16*4/3=7/12
10*5/12=25/6=4 1/6
3/7:⅔=3/7*3/2=9/14
4/11:8=4/11*1/8=11/2=5 1/2
(2¼)²=(9/4)²=36/16=2 1/4

7-1 4/5*(1¼+1/12):3=6
1 1/4+1/12=5/4+1/12=15/12+1/12=16/12=4/3
1 4/5*4/3=9/4*4/3=3
3:3=1
7-1=6

Answer 2

Of course, I'd be happy to help you with these mathematical expressions! Let's solve each one step by step:

1. ⅓ * 2/5 To multiply fractions, multiply the numerators together and multiply the denominators together: (1/3) * (2/5) = (1 * 2) / (3 * 5) = 2 / 15

2. 7/16 * 1⅓ To multiply a fraction by a mixed number, convert the mixed number to an improper fraction and then proceed with the multiplication: 1⅓ = (1 + 1/3) = (3/3 + 1/3) = 4/3 (7/16) * (4/3) = (7 * 4) / (16 * 3) = 28 / 48 To simplify the fraction, divide both numerator and denominator by their greatest common divisor, which is 4 in this case: 28 / 48 = 7 / 12

3. 10 * 5/12 To multiply a whole number by a fraction, convert the whole number to a fraction with the same denominator: 10 = 10/1 10 * (5/12) = (10/1) * (5/12) = (10 * 5) / (1 * 12) = 50 / 12 To simplify the fraction, divide both numerator and denominator by their greatest common divisor, which is 2 in this case: 50 / 12 = 25 / 6

4. 3/7 : ⅔ To divide fractions, multiply the first fraction by the reciprocal of the second fraction: (3/7) * (3/2) = (3 * 3) / (7 * 2) = 9 / 14

5. 4/11 : 8 To divide a fraction by a whole number, convert the whole number to a fraction with a denominator of 1: 8 = 8/1 (4/11) * (1/8) = (4 * 1) / (11 * 8) = 4 / 88 To simplify the fraction, divide both numerator and denominator by their greatest common divisor, which is 4 in this case: 4 / 88 = 1 / 22

6. (2¼)² To square a mixed number, first convert it to an improper fraction and then square the resulting fraction: 2¼ = (2 * 4 + 1) / 4 = 9/4 (2¼)² = (9/4)² = 81/16

7. 7 - 1 Simple subtraction: 7 - 1 = 6

8. 4/5 * (1¼ + 1/12) Perform the addition in the parentheses first: 1¼ = (1 * 4 + 1) / 4 = 5/4 (4/5) * (5/4 + 1/12) = (4/5) * (15/12 + 1/12) = (4/5) * (16/12) = (4 * 16) / (5 * 12) = 64/60 To simplify the fraction, divide both numerator and denominator by their greatest common divisor, which is 4 in this case: 64/60 = 16/15

So, the results are:

1. ⅓ * 2/5 = 2/15
2. 7/16 * 1⅓ = 7/12
3. 10 * 5/12 = 25/6
4. 3/7 : ⅔ = 9/14
5. 4/11 : 8 = 1/22
6. (2¼)² = 81/16
7. 7 - 1 = 6
8. 4/5 * (1¼ + 1/12) = 16/15

If you have any more questions or need further assistance, feel free to ask!