Question

Сократите дроби ,затем выполните действие вычитания 18/24-25/100; 21/24-12/32найдите разность и запишите ответ в виде несократимой дроби11./12-1/6; 5/36-1/9

Answer 1

25   18= 24     18   6
___ __ ___ - ___= ---
100/24=  5     5       5
11   1         11        1     10
----   ----     ----   -    ---- =----
12  \ 6=     2           2      2

Answer 2

18/24-25/100=3/4-1/4=2/4=1/2
21/24-12/32=7/8-3/8=4/8=1/4
11/12-1/6=11/12-2/12=9/12=3/4
5/36-1/9=5/36-4/36=1/36

Answer 3

Simplify Fractions and Perform Subtraction

To simplify the fractions and perform the subtraction, let's follow these steps:

1. Simplify the fractions, if possible. 2. Find a common denominator for the fractions. 3. Perform the subtraction. 4. Simplify the resulting fraction, if necessary.

Let's solve each problem step by step:

1. Simplify the fractions 18/24 and 25/100:

To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both by it.

For 18/24: - The GCD of 18 and 24 is 6. - Dividing both the numerator and denominator by 6, we get 18/24 = 3/4.

For 25/100: - The GCD of 25 and 100 is 25. - Dividing both the numerator and denominator by 25, we get 25/100 = 1/4.

Therefore, 18/24 simplifies to 3/4, and 25/100 simplifies to 1/4.

2. Find a common denominator for 3/4 and 1/4:

Since the denominators are already the same (both are 4), we don't need to find a common denominator.

3. Perform the subtraction (3/4 - 1/4):

Subtracting the numerators and keeping the common denominator, we get (3 - 1)/4 = 2/4.

4. Simplify the resulting fraction, if necessary:

The fraction 2/4 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.

Dividing 2 and 4 by 2, we get 2/4 = 1/2.

Therefore, the result of 18/24 - 25/100 is 1/2.

Now let's solve the next problem:

1. Simplify the fractions 21/24 and 12/32:

For 21/24: - The GCD of 21 and 24 is 3. - Dividing both the numerator and denominator by 3, we get 21/24 = 7/8.

For 12/32: - The GCD of 12 and 32 is 4. - Dividing both the numerator and denominator by 4, we get 12/32 = 3/8.

Therefore, 21/24 simplifies to 7/8, and 12/32 simplifies to 3/8.

2. Find a common denominator for 7/8 and 3/8:

Since the denominators are already the same (both are 8), we don't need to find a common denominator.

3. Perform the subtraction (7/8 - 3/8):

Subtracting the numerators and keeping the common denominator, we get (7 - 3)/8 = 4/8.

4. Simplify the resulting fraction, if necessary:

The fraction 4/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4.

Dividing 4 and 8 by 4, we get 4/8 = 1/2.

Therefore, the result of 21/24 - 12/32 is 1/2.

Now let's solve the next problem:

1. Simplify the fractions 11/12 and 1/6:

For 11/12: - The GCD of 11 and 12 is 1. - Dividing both the numerator and denominator by 1, we get 11/12.

For 1/6: - The GCD of 1 and 6 is 1. - Dividing both the numerator and denominator by 1, we get 1/6.

Therefore, 11/12 and 1/6 cannot be simplified further.

2. Find a common denominator for 11/12 and 1/6:

To find a common denominator, we need to find the least common multiple (LCM) of the denominators, which is 12.

Multiplying the numerator and denominator of 1/6 by 2, we get 2/12.

Therefore, the fractions 11/12 and 1/6 have a common denominator of 12.

3. Perform the subtraction (11/12 - 1/6):

Subtracting the numerators and keeping the common denominator, we get (11 - 2)/12 = 9/12.

4. Simplify the resulting fraction, if necessary:

The fraction 9/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3.

Dividing 9 and 12 by 3, we get 9/12 = 3/4.

Therefore, the result of 11/12 - 1/6 is 3/4.

Now let's solve the last problem:

1. Simplify the fractions 5/36 and 1/9:

For 5/36: - The GCD of 5 and 36 is 1. - Dividing both the numerator and denominator by 1, we get 5/36.

For 1/9: - The GCD of 1 and 9 is 1. - Dividing both the numerator and denominator by 1, we get 1/9.

Therefore, 5/36 and 1/9 cannot be simplified further.

2. Find a common denominator for 5/36 and 1/9:

To find a common denominator, we need to find the least common multiple (LCM) of the denominators, which is 36.

Multiplying the numerator and denominator of 1/9 by 4, we get 4/36.

Therefore, the fractions 5/36 and 1/9 have a common denominator of 36.

3. Perform the subtraction (5/36 - 1/9):

Subtracting the numerators and keeping the common denominator, we get (5 - 4)/36 = 1/36.

4. Simplify the resulting fraction, if necessary:

The fraction 1/36 cannot be simplified further.

Therefore, the result of 5/36 - 1/9 is 1/36.

To summarize, the solutions to the given subtraction problems in the form of irreducible fractions are:

- 18/24 - 25/100 = 1/2 - 21/24 - 12/32 = 1/2 - 11/12 - 1/6 = 3/4 - 5/36 - 1/9 = 1/36