Question

7-2/3=1 3/4-1/6=1 1/5+2 2/3+1/6=​

Answer 1

Ответ:

1) 7-2/3=

$7-\frac{2}{3} =\frac{7}{1} -\frac{2}{3}= \frac{7*3-2}{3} = \frac{19}{3} =6\frac{1}{3}.$

2) 1 3/4-1/6=

$1\frac{3}{4}-\frac{1}{6} =\frac{4*1+3}{4} -\frac{1}{6} =\frac{7}{4} -\frac{1}{6} =\frac{7*3-1*2}{12} =\frac{21-2}{12}=\frac{19}{12}=1\frac{7}{12}.$

3) 1 1/5+2 2/3+1/6=​ $1\frac{1}{5}+2\frac{2}{3}+\frac{1}{6} =\frac{5*1+1}{5} +\frac{3*2+2}{3} +\frac{1}{6} =\frac{6}{5} +\frac{8}{3} +\frac{1}{6} =\frac{6*6+8*10+1*5}{30} =\frac{36+80+5}{30}= \\\\=\frac{121}{30}=4\frac{1}{30} .$

Answer 2

Ответ:

Пошаговое объяснение:

7 - 2/3 = 6. 3/3 - 2/3 = 6. 1/3

1. 3/4 - 1/6 = 1. 9/12 - 2/12 =

1. 7/12

1. 1/5 + 2. 2/3 + 1/6 =

1. 6/30 + 2. 20/30 + 5/30 =

3. 31/30 = 4. 1/30

Answer 3

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

1. 7 - 2/3: To subtract a fraction from a whole number, we need to convert the whole number to a fraction with the same denominator as the fraction. In this case, the denominator is 3. So, we can write 7 as 21/3 (since 7 * 3 = 21), and then subtract 2/3:

   21/3 - 2/3 = (21 - 2)/3 = 19/3

   So, 7 - 2/3 = 19/3.

2. 1 3/4 - 1/6: To subtract fractions with different denominators, we need to find a common denominator. The common denominator for 4 and 6 is 12. So, we'll rewrite both fractions with a denominator of 12:

   (1 * 12/4) - (1 * 2/6) = 12/4 - 2/6

   Now, we can subtract the fractions:

   12/4 - 2/6 = (3 * 12/4) - (2 * 2/6) = 36/12 - 4/6

   Now, both fractions have a common denominator of 12:

   36/12 - 4/6 = (36 - 24)/12 = 12/12 = 1

   So, 1 3/4 - 1/6 = 1.

3. 1 1/5 + 2 2/3 + 1/6: First, let's add the whole numbers together:

   1 + 2 + 0 = 3

   Now, let's add the fractions. We'll find a common denominator, which is 15 (the least common multiple of 5 and 3):

   (1 * 3/5) + (2 * 5/3) + (1 * 2/6) = 3/5 + 10/3 + 2/6

   Now, we need to convert all fractions to have a denominator of 15:

   (3 * 3/5) + (5 * 5/3) + (5 * 2/6) = 9/15 + 25/15 + 10/15

   Now, we can add the fractions with the common denominator:

   (9/15) + (25/15) + (10/15) = (9 + 25 + 10)/15 = 44/15

   So, 1 1/5 + 2 2/3 + 1/6 = 3 1/15 or 44/15.