Question

Помогите ришить подробно с действиями 3/5:11/5 7/8:7/16 1 3/4:10 1/2 В зарание спасибо

Answer 1

3/5÷1 1/5=3/5÷6/5=3/5×5/6=1/2
7/8÷7/16=7/8×16/7=2
1 3/4÷10 1/2= 7/4÷21/2=7/4×2/21=1/3

Answer 2

Problem Statement

You need help solving the following arithmetic expression step by step:

3/5 ÷ 11/5 + 7/8 ÷ 7/16 + 1 + 3/4 ÷ 10 + 1/2

Solution

To solve this arithmetic expression, we need to follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.

Let's break down the expression step by step:

1. 3/5 ÷ 11/5 To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and denominator.

So, 3/5 ÷ 11/5 becomes 3/5 × 5/11. Multiplying the numerators (3 × 5) gives us 15, and multiplying the denominators (5 × 11) gives us 55. Therefore, 3/5 ÷ 11/5 equals 15/55.

2. 7/8 ÷ 7/16 Again, we need to multiply the first fraction by the reciprocal of the second fraction.

So, 7/8 ÷ 7/16 becomes 7/8 × 16/7. Multiplying the numerators (7 × 16) gives us 112, and multiplying the denominators (8 × 7) gives us 56. Therefore, 7/8 ÷ 7/16 equals 112/56, which simplifies to 2.

3. 1 + 3/4 ÷ 10 We need to perform the division first.

3/4 ÷ 10 can be written as 3/4 × 1/10. Multiplying the numerators (3 × 1) gives us 3, and multiplying the denominators (4 × 10) gives us 40. Therefore, 3/4 ÷ 10 equals 3/40.

Now, we can add 1 and 3/40. To add fractions, we need a common denominator. The common denominator here is 40.

1 can be written as 40/40. Adding 40/40 and 3/40 gives us 43/40.

4. 43/40 + 1/2 To add fractions, we need a common denominator. The common denominator here is 40.

1/2 can be written as 20/40. Adding 43/40 and 20/40 gives us 63/40.

Now, let's summarize the steps:

3/5 ÷ 11/5 + 7/8 ÷ 7/16 + 1 + 3/4 ÷ 10 + 1/2 simplifies to 63/40.

Therefore, the solution to the arithmetic expression is 63/40.

Please let me know if you need any further assistance!