Question

1) 5/8+4/9+3/8+5/9= 2) 3/7+1/6+5/6+6/7=

Answer 1

Ответ:

Пошаговое объяснение:

1) 5/8+4/9+3/8+5/9= (5/8 + 3/8) + (4/9 + 5/9) = 8/8 + 9/9 = 1 + 1 = 2

2) 3/7+1/6+5/6+6/7= (3/7 + 6/7) + (1/6 + 5/6) = 9/7 + 6/6 = 1 2/7 + 1 = 2 2/7

Answer 2

Ответ:

1)1  2)2 2/7

Пошаговое объяснение:

Answer 3

To solve these addition problems, you'll need to find a common denominator for each set of fractions and then add them together. Here are the solutions for both problems:

1. $\frac{5}{8} + \frac{4}{9} + \frac{3}{8} + \frac{5}{9}$

To find a common denominator for the fractions in this problem, you can use the least common multiple (LCM) of 8 and 9, which is 72. Then, you can rewrite each fraction with a denominator of 72:

$\frac{5}{8} \cdot \frac{9}{9} = \frac{45}{72}$ $\frac{4}{9} \cdot \frac{8}{8} = \frac{32}{72}$ $\frac{3}{8} \cdot \frac{9}{9} = \frac{27}{72}$ $\frac{5}{9} \cdot \frac{8}{8} = \frac{40}{72}$

Now, you can add these fractions together:

$\frac{45}{72} + \frac{32}{72} + \frac{27}{72} + \frac{40}{72}$

Add the numerators together while keeping the common denominator:

$\frac{45 + 32 + 27 + 40}{72}$

$\frac{144}{72}$

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 72:

$\frac{144}{72} = \frac{2}{1}$

So, the result is $\frac{2}{1}$, which is equivalent to the whole number 2.

2. $\frac{3}{7} + \frac{1}{6} + \frac{5}{6} + \frac{6}{7}$

To find a common denominator for the fractions in this problem, you can use the least common multiple (LCM) of 6 and 7, which is 42. Then, rewrite each fraction with a denominator of 42:

$\frac{3}{7} \cdot \frac{6}{6} = \frac{18}{42}$ $\frac{1}{6} \cdot \frac{7}{7} = \frac{7}{42}$ $\frac{5}{6} \cdot \frac{7}{7} = \frac{35}{42}$ $\frac{6}{7} \cdot \frac{6}{6} = \frac{36}{42}$

Now, add these fractions together:

$\frac{18}{42} + \frac{7}{42} + \frac{35}{42} + \frac{36}{42}$

Add the numerators together while keeping the common denominator:

$\frac{18 + 7 + 35 + 36}{42}$

$\frac{96}{42}$

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6:

$\frac{96}{42} = \frac{16}{7}$