Question

3 1/10+1/2=? 7 7/8-3 3/8=? 15/16:3/8*3/4=?

Answer 1

3 1/10+1/2=2 7 7/8-3 3/8=8 15/16:3/8*3/4=4

Answer 2

Решение на фотографии

Answer 3

Let's solve the three expressions step by step:

1. 3 1/10 + 1/2: To add these two fractions, we first need to convert the mixed number to an improper fraction. The improper fraction equivalent of 3 1/10 is (31/10). Now, we can add the two fractions: (31/10) + (1/2)

To add fractions, we need to have a common denominator. The common denominator of 10 and 2 is 10. Now, let's rewrite the fractions with the common denominator: (31/10) + (5/10)

Now, we can add the fractions: (31/10) + (5/10) = (31 + 5) / 10 = 36 / 10

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case: 36 / 10 = 18 / 5

So, the result of 3 1/10 + 1/2 is 18/5.

2. 7 7/8 - 3 3/8: Similarly, we'll convert the mixed numbers to improper fractions: (63/8) - (27/8)

As the denominators are the same, we can directly subtract the fractions: (63/8) - (27/8) = (63 - 27) / 8 = 36 / 8

To simplify the fraction, we can divide the numerator and denominator by their GCD, which is 4 in this case: 36 / 8 = 9 / 2

So, the result of 7 7/8 - 3 3/8 is 9/2.

3. 15/16 ÷ 3/8 × 3/4: When dividing fractions, we invert the second fraction and then multiply: (15/16) ÷ (3/8) × (3/4) = (15/16) × (8/3) × (3/4)

Now, we can cancel out common factors between the numerators and denominators: (15/16) × (8/3) × (3/4) = (5/16) × (8/1) × (1/4) = (5 × 8 × 1) / (16 × 1 × 4) = 40 / 64

To simplify the fraction, we can divide the numerator and denominator by their GCD, which is 8 in this case: 40 / 64 = 5 / 8

So, the result of 15/16 ÷ 3/8 × 3/4 is 5/8.

To summarize:

1. 3 1/10 + 1/2 = 18/5
2. 7 7/8 - 3 3/8 = 9/2
3. 15/16 ÷ 3/8 × 3/4 = 5/8