Question

1 3/4×2 4/7:4 1/2+2 2/5:9/10×3/8​

Answer 1

Пошаговое объяснение:

1).

$\frac{3}{4} \times 2 = \frac{3 \times 2}{4} = \frac{6}{4} = \frac{3}{2} = 1 \frac{1}{2}$

2).

$\frac{4}{7} \div 4 = \frac{4}{7} \div \frac{4}{1} = \frac{4}{7} \times \frac{1}{4} = \frac{1}{7}$

3).

$\frac{1}{2} + 2 = 2 \frac{1}{2}$

4).

$\frac{2}{5} \div \frac{9}{10} \times \frac{3}{8} = \frac{2}{5} \times \frac{10}{9} \times \frac{3}{8} = \frac{2}{3 \times 4} = \frac{1}{6}$

Answer 2

To solve the expression, you can follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). In this case, we'll start with the multiplication and division from left to right and then perform the addition.

1. 1 3/4 × 2 4/7: First, convert the mixed numbers to improper fractions: 7/4 × 18/7

   Now, multiply the fractions: (7/4) × (18/7) = (7/4) * (18/7) = (7 * 18) / (4 * 7) = 126/28

2. 4 1/2 + 2 2/5: Convert the mixed numbers to improper fractions: (9/2) + (12/5)

   To add these fractions, you need to find a common denominator, which is 10 in this case: (9/2) * (5/5) + (12/5) * (2/2) = (45/10) + (24/10)

   Now, add the fractions: (45/10) + (24/10) = (45 + 24) / 10 = 69/10

3. 9/10 × 3/8: Multiply the fractions: (9/10) × (3/8) = (9 * 3) / (10 * 8) = 27/80

Now, you can perform the remaining operations:

1. 126/28 ÷ 69/10: To divide fractions, multiply by the reciprocal of the second fraction: (126/28) ÷ (69/10) = (126/28) * (10/69)

   Now, multiply the fractions: (126 * 10) / (28 * 69) = 1260/1932

2. 27/80 + 1260/1932: To add these fractions, you need to find a common denominator, which is 1932 in this case: (27/80) * (24/24) + (1260/1932) * (80/80) = (2160/1932) + (1260/1932)

   Now, add the fractions: (2160/1932) + (1260/1932) = (2160 + 1260) / 1932 = 3420/1932

Now, you can simplify the final fraction:

3420/1932 = 60/34 = 30/17

So, the result of the expression is 30/17.