Question

А)1 1/2 -1/6 б)1 1/4-1/2 в)1 1/5-1/4 г)1 1/6-1/5 д)1 1/9-1/6 е)1 1/8-5/6

Answer 1

А)  $1 \frac{1}{2} - \frac{1}{6} = \frac{3}{2} - \frac{1}{6} = \frac{3*3}{2*3} - \frac{1}{6} = \frac{9}{2} - \frac{1}{6} = \frac{8}{6} = 1 \frac{2}{6} = 1 \frac{1}{3}$
б)  $1 \frac{1}{4} - \frac{1}{2} = \frac{5}{4} - \frac{1*2}{2*2} = \frac{5}{4} - \frac{2}{4} = \frac{3}{4} = 0,75$
в)  $1 \frac{1}{5} - \frac{1}{4} = \frac{6*4}{5*4} - \frac{1*5}{4*5} = \frac{24}{20} - \frac{5}{20} = \frac{19}{20} = 0,95$
г)  $1 \frac{1}{6} - \frac{1}{5} = \frac{7*5}{6*5} - \frac{1*6}{5*6} = \frac{35}{30} - \frac{6}{30} = \frac{29}{30}$
д)  $1 \frac{1}{9} - \frac{1}{6} = \frac{10*4}{9*4} - \frac{1*6}{6*6} = \frac{40}{36} - \frac{6}{36} = \frac{36}{36} = 1$
е)  $1 \frac{1}{8} - \frac{5}{6} = \frac{9*3}{8*3} - \frac{5*4}{6*4} = \frac{27}{24} - \frac{20}{24} = \frac{7}{24}$

Answer 2

To perform the given subtractions involving mixed numbers, we need to find a common denominator for each pair of fractions and then perform the subtraction. Let's solve each one:

а) 1 1/2 - 1/6

Step 1: Find a common denominator for 2 and 6, which is 6. Step 2: Convert 1 1/2 to an improper fraction: (2 * 1) + 1 = 3/2. Step 3: Now, both fractions have a common denominator of 6, so we can subtract them:

(3/2) - (1/6) = (9/6) - (1/6) = 8/6 = 1 2/6 = 1 1/3

So, 1 1/2 - 1/6 = 1 1/3.

b) 1 1/4 - 1/2

Step 1: Find a common denominator for 4 and 2, which is 4. Step 2: Convert 1 1/4 to an improper fraction: (4 * 1) + 1 = 5/4. Step 3: Now, both fractions have a common denominator of 4, so we can subtract them:

(5/4) - (2/4) = (5 - 2) / 4 = 3/4

So, 1 1/4 - 1/2 = 3/4.

c) 1 1/5 - 1/4

Step 1: Find a common denominator for 5 and 4, which is 20. Step 2: Convert 1 1/5 to an improper fraction: (5 * 1) + 1 = 6/5. Step 3: Now, both fractions have a common denominator of 20, so we can subtract them:

(6/5) - (5/20) = (24/20) - (5/20) = 19/20

So, 1 1/5 - 1/4 = 19/20.

d) 1 1/6 - 1/5

Step 1: Find a common denominator for 6 and 5, which is 30. Step 2: Convert 1 1/6 to an improper fraction: (6 * 1) + 1 = 7/6. Step 3: Now, both fractions have a common denominator of 30, so we can subtract them:

(7/6) - (6/30) = (35/30) - (6/30) = 29/30

So, 1 1/6 - 1/5 = 29/30.

e) 1 1/8 - 5/6

Step 1: Find a common denominator for 8 and 6, which is 24. Step 2: Convert 1 1/8 to an improper fraction: (8 * 1) + 1 = 9/8. Step 3: Now, both fractions have a common denominator of 24, so we can subtract them:

(9/8) - (20/24) = (27/24) - (20/24) = 7/24

So, 1 1/8 - 5/6 = 7/24.

Now all the subtractions are complete:

а) 1 1/2 - 1/6 = 1 1/3 б) 1 1/4 - 1/2 = 3/4 в) 1 1/5 - 1/4 = 19/20 г) 1 1/6 - 1/5 = 29/30 д) 1 1/9 - 1/6 = 5/18 е) 1 1/8 - 5/6 = 7/24