Question

3/7×7/9= 2 1/7×14= 4 3/5 :23= 4 1/3:26=

Answer 1

Відповідь:

Покрокове пояснення:

1) $\frac{27}{49}$

2) 2

3)$\frac{3}{115}$

4) $\frac{1}{78}$

Answer 2

Пошаговое объяснение:

27

2) 2

3)\frac{3}{115}

115

3

4) \frac{1}{78}

78

1

Answer 3

Let's solve each of these mathematical expressions step by step:

1. 3/7 × 7/9: To multiply fractions, we multiply the numerators together and the denominators together. So, for this expression: (3/7) × (7/9) = (3 × 7) / (7 × 9) = 21/63

Simplifying the fraction 21/63, we can divide both the numerator and denominator by their greatest common divisor, which is 3: 21 ÷ 3 / 63 ÷ 3 = 7/21

So, 3/7 × 7/9 equals 7/21, which can also be simplified to 1/3.

2. 2 1/7 × 14: To multiply a whole number and a mixed number, we first convert the mixed number into an improper fraction. The formula is: (whole number × denominator + numerator) / denominator. For this expression: 2 1/7 = (2 × 7 + 1) / 7 = 15/7

Now, we can multiply the improper fraction by the whole number: (15/7) × 14 = (15 × 14) / 7 = 210/7

Simplifying the fraction 210/7, we divide both the numerator and denominator by their greatest common divisor, which is 7: 210 ÷ 7 / 7 ÷ 7 = 30/1

Therefore, 2 1/7 × 14 equals 30.

3. 4 3/5 : 23: To divide a mixed number by a whole number, we convert the mixed number into an improper fraction and then divide it by the whole number. For this expression: 4 3/5 = (4 × 5 + 3) / 5 = 23/5

Now, we can divide the improper fraction by 23: (23/5) : 23 = (23/5) × (1/23) = 23/115

So, 4 3/5 : 23 equals 23/115.

4. 4 1/3 : 26: Again, we convert the mixed number into an improper fraction and then divide it by the whole number. For this expression: 4 1/3 = (4 × 3 + 1) / 3 = 13/3

Now, we can divide the improper fraction by 26: (13/3) : 26 = (13/3) × (1/26) = 13/78

Therefore, 4 1/3 : 26 equals 13/78.