Question

Знайди добуток: 1)4/7*1 2/5= 2)7 1/12*1 1/5=Знайди частку: 1)4 2/3:8/9= 2)3 1/3:2 6/7=

Answer 1

Ответ:

Пошаговое объяснение:

4/7× 7/5=4/5; 85/12×6/5=17/2=8 1/2;

14/3÷8/9=14/3× 9/8=21/4=5 1/4;

10/3÷20/7=10/3×7/20=7/6=1 1/6

Answer 2

Знайди добуток:

1) (4/7 * 1) + (2/5)

To find the product of these fractions, we multiply the numerators together and multiply the denominators together. Let's calculate it step by step:

First, let's simplify the expression: (4/7 * 1) + (2/5) = (4/7) + (2/5)

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 7 and 5 is 35.

Next, we'll convert both fractions to have a denominator of 35: (4/7) + (2/5) = (4/7 * 5/5) + (2/5 * 7/7) = (20/35) + (14/35)

Now that the fractions have the same denominator, we can add the numerators together: (20/35) + (14/35) = (20 + 14)/35 = 34/35

Therefore, the answer to the first equation is 34/35.

2) (7 + 1/12 * 1) + (1/5)

Let's calculate the second equation step by step:

First, let's simplify the expression: (7 + 1/12 * 1) + (1/5) = (7 + 1/12) + (1/5)

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 12 and 5 is 60.

Next, we'll convert both fractions to have a denominator of 60: (7 + 1/12) + (1/5) = (7/1 * 60/60) + (1/12 * 5/5) = (420/60) + (5/60)

Now that the fractions have the same denominator, we can add the numerators together: (420/60) + (5/60) = (420 + 5)/60 = 425/60

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 5: 425/60 = (425/5) / (60/5) = 85/12

Therefore, the answer to the second equation is 85/12.

Знайди частку:

1) (4 + 2/3) / (8/9)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Let's calculate it step by step:

First, let's simplify the expression: (4 + 2/3) / (8/9)

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 9 is 9.

Next, we'll convert the mixed number to an improper fraction: (4 + 2/3) / (8/9) = (12/3 + 2/3) / (8/9) = (14/3) / (8/9)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (14/3) / (8/9) = (14/3) * (9/8)

Now, let's multiply the numerators together and multiply the denominators together: (14/3) * (9/8) = (14 * 9) / (3 * 8) = 126/24

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 6: 126/24 = (126/6) / (24/6) = 21/4

Therefore, the answer to the first equation is 21/4.

2) (3 + 1/3) / (2 + 6/7)

Let's calculate the second equation step by step:

First, let's simplify the expression: (3 + 1/3) / (2 + 6/7)

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 7 is 21.

Next, we'll convert the mixed numbers to improper fractions: (3 + 1/3) / (2 + 6/7) = (9/3 + 1/3) / (14/7 + 6/7) = (10/3) / (20/7)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (10/3) / (20/7) = (10/3) * (7/20)

Now, let's multiply the numerators together and multiply the denominators together: (10/3) * (7/20) = (10 * 7) / (3 * 20) = 70/60

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 10: 70/60 = (70/10) / (60/10) = 7/6

Therefore, the answer to the second equation is 7/6.