Question

14/25×10/21 3 1/2×4 4/5÷2/25

Answer 1

Ответ:

Пошаговое объяснение:

14/25×10/21 =4\15

3 1/2×4 =7\2*4=14

4/5÷2/25=4\5*25\2=10

Answer 2

To solve the given expressions, let's go through them step by step:

1. 14/25 × 10/21: To multiply fractions, you multiply the numerators together and the denominators together. Thus, the result is (14 × 10) / (25 × 21) = 140 / 525. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 35. So, the simplified result is 4/15.

2. 3 1/2 × 4: To multiply a whole number and a mixed number, you can convert the whole number to a fraction by multiplying it by the denominator of the fraction part. In this case, 3 × 2 = 6, so the mixed number becomes 6 1/2. Now, you can multiply the mixed number by 4: (6 1/2) × 4 = 26.

3. 4/5 ÷ 2/25: To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 2/25 is 25/2. Thus, the division becomes (4/5) × (25/2). Multiply the numerators together and the denominators together: (4 × 25) / (5 × 2) = 100 / 10. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 10. So, the simplified result is 10.

Therefore, the results of the given expressions are:

1. 14/25 × 10/21 = 4/15
2. 3 1/2 × 4 = 26
3. 4/5 ÷ 2/25 = 10