Question

1. 7/13:14 2. 2 6/25 : 1 1/43. 5 1/3 : 1 3/54. (6 1/6+ 3 3/4 - 4 1/2):2 3/5-15/16:3/4 СРОЧНО ​

Answer 1

1)

$\frac{7}{13} \div 14 = \frac{7}{13} \times \frac{1}{4} = \frac{7}{52}$

2)

$2 \frac{6}{25} \div 1 \frac{1}{4 } = \frac{56}{25} \times \frac{1}{4} = \frac{14}{25}$

3)

$5 \frac{1}{3} \div 1 \frac{3}{5} = \frac{16}{3} \times \frac{3}{5} = \frac{16}{5}$

4)

$(6 \frac{1}{6} + 3 \frac{3}{4} - 4 \frac{1}{2} ) \div 2 \frac{3}{5} - \frac{15}{16} \div \frac{3}{4 } = \frac{65}{12} \times \frac{1}{2} \times \frac{3}{5} - \frac{5}{4} = \frac{13}{8} - \frac{5}{4} = \frac{3}{8}$

Answer 2

1. To solve the expression 7/13:14, we need to divide 7/13 by 14. This can be done by multiplying the numerator (7) by the reciprocal of the denominator (14). The reciprocal of 14 is 1/14. Therefore, the expression can be simplified as follows:

7/13 ÷ 14 = 7/13 × 1/14 = (7 × 1) / (13 × 14) = 7/182

So, the value of the expression 7/13:14 is 7/182.

2. To solve the expression 2 6/25 : 1 1/43, we need to convert the mixed numbers into improper fractions and then divide them. Let's convert the mixed numbers first:

2 6/25 = (2 × 25 + 6) / 25 = 56/25 1 1/43 = (1 × 43 + 1) / 43 = 44/43

Now, we can divide 56/25 by 44/43. This can be done by multiplying the numerator (56/25) by the reciprocal of the denominator (44/43). The reciprocal of 44/43 is 43/44. Therefore, the expression can be simplified as follows:

(56/25) ÷ (44/43) = (56/25) × (43/44) = (56 × 43) / (25 × 44) = 2408/1100

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:

2408/1100 = (2408 ÷ 4) / (1100 ÷ 4) = 602/275

So, the value of the expression 2 6/25 : 1 1/43 is 602/275.

3. To solve the expression (6 1/6 + 3 3/4 - 4 1/2) : 2 3/5 - 15/16 : 3/4, we need to follow the order of operations (PEMDAS/BODMAS). Let's break it down step by step:

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