Question

4/7-3/14= 5/14×2 1/3= 3-2 7/10= 40:5/8=

Answer 1

Если я правильно поняла и это дроби, то все решается легко

Answer 2

Let's solve each of the equations step by step:

1. 4/7 - 3/14: To subtract fractions, we need to find a common denominator. The least common multiple of 7 and 14 is 14. So, we rewrite the equation with a common denominator: (4/7) - (3/14) = (8/14) - (3/14) = 5/14.

2. 5/14 × 2 1/3: To multiply fractions, we simply multiply the numerators and denominators. First, let's convert the mixed number (2 1/3) to an improper fraction: 2 1/3 = (2 × 3 + 1)/3 = 7/3. Now, we can multiply the fractions: (5/14) × (7/3) = (5 × 7)/(14 × 3) = 35/42. Note that we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7: 35/42 = (35 ÷ 7)/(42 ÷ 7) = 5/6.

3. 3 - 2 7/10: To subtract mixed numbers, we first convert them into improper fractions: 2 7/10 = (2 × 10 + 7)/10 = 27/10. Now, we can subtract the fractions: 3 - 27/10 = (30/10) - (27/10) = 3/10.

4. 40 : 5/8: To divide by a fraction, we multiply by its reciprocal (invert and multiply). The reciprocal of 5/8 is 8/5: 40 ÷ (5/8) = 40 × (8/5) = (40 × 8)/5 = 320/5. Note that we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5: 320/5 = (320 ÷ 5)/(5 ÷ 5) = 64/1 = 64.

Therefore, the solutions to the equations are:

1. 4/7 - 3/14 = 5/14.
2. 5/14 × 2 1/3 = 5/6.
3. 3 - 2 7/10 = 3/10.
4. 40 : 5/8 = 64.