Question

5/4+3/7,5/4*7/10,5-8/5*10/18

Answer 1

Пошаговое обьяснение

Answer 2

Let's simplify each of the expressions step by step:

1. 5/4 + 3/7: To add these fractions, we need to find a common denominator, which is the least common multiple (LCM) of 4 and 7, which is 28. Now, we'll convert both fractions to have a denominator of 28: (5/4) * (7/7) = 35/28 (3/7) * (4/4) = 12/28

Now, add the fractions: 35/28 + 12/28 = 47/28

So, 5/4 + 3/7 = 47/28.

2. 5/4 * 7/10: Simply multiply the numerators and denominators: (5 * 7) / (4 * 10) = 35 / 40

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5: 35 / 40 = (35/5) / (40/5) = 7/8

So, 5/4 * 7/10 = 7/8.

3. 5 - 8/5 * 10/18: Perform the multiplications first, and then do the subtraction: (8/5) * (10/18) = (8 * 10) / (5 * 18) = 80 / 90

Now, simplify the fraction: 80 / 90 = (80/10) / (90/10) = 8/9

Now, subtract from 5: 5 - 8/5 * 10/18 = 5 - 8/9

To subtract, find a common denominator, which is 9 in this case: 5 = 45/9

Now, perform the subtraction: 5 - 8/9 = 45/9 - 8/9 = (45 - 8)/9 = 37/9

So, 5 - 8/5 * 10/18 = 37/9.

To summarize:

1. 5/4 + 3/7 = 47/28.
2. 5/4 * 7/10 = 7/8.
3. 5 - 8/5 * 10/18 = 37/9.