Question

Помогите решить дробь 14/15-5/18

Answer 1

14/15-5/18
Найдём НОК
15=5*3
18=6*3
НОК=5*6*3=90
_________
84/90-25/90=59/90

Answer 2

Solving the Fraction 14/15 - 5/18

To solve the subtraction of the fractions 14/15 and 5/18, we can follow these steps:

1. Find a Common Denominator: - The first step is to find a common denominator for the two fractions. The common denominator is the least common multiple of the denominators of the fractions.

2. Convert Fractions to Equivalent Fractions with the Common Denominator: - Once we have the common denominator, we can convert both fractions to equivalent fractions with the common denominator.

3. Subtract the Numerators: - After converting the fractions to have the same denominator, we can subtract the numerators while keeping the common denominator the same.

Let's proceed with these steps to solve the given subtraction.

Step 1: Find a Common Denominator

The denominators of the given fractions are 15 and 18. The least common multiple (LCM) of 15 and 18 is 90.

Step 2: Convert Fractions to Equivalent Fractions with the Common Denominator

To convert the fractions to have a common denominator of 90: - For 14/15: Multiply both the numerator and denominator by 6 to get an equivalent fraction with a denominator of 90. - 14/15 * (6/6) = 84/90 - For 5/18: Multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 90. - 5/18 * (5/5) = 25/90

So, the equivalent fractions with a common denominator of 90 are 84/90 and 25/90.

Step 3: Subtract the Numerators

Now, we can subtract the numerators while keeping the common denominator the same: - 84/90 - 25/90 = (84 - 25)/90 = 59/90

Final Result:

The result of the subtraction of the fractions 14/15 - 5/18 is 59/90.