8/18 = _ 2. 5/35
The Correct Answer and Explanation is:
Let’s first solve the problem.
Simplifying the fraction:
- 8/18:
To simplify this fraction, find the greatest common divisor (GCD) of 8 and 18.
The factors of 8 are 1, 2, 4, and 8.
The factors of 18 are 1, 2, 3, 6, 9, and 18.
The greatest common divisor of 8 and 18 is 2.
Now, divide both the numerator (8) and the denominator (18) by 2. 818=8÷218÷2=49\frac{8}{18} = \frac{8 \div 2}{18 \div 2} = \frac{4}{9}188=18÷28÷2=94 So, 8/18 simplifies to 4/9. - 5/35:
Now, let’s simplify the fraction 5/35.
The factors of 5 are 1 and 5.
The factors of 35 are 1, 5, 7, and 35.
The greatest common divisor of 5 and 35 is 5.
Divide both the numerator (5) and the denominator (35) by 5. 535=5÷535÷5=17\frac{5}{35} = \frac{5 \div 5}{35 \div 5} = \frac{1}{7}355=35÷55÷5=71 So, 5/35 simplifies to 1/7.
Final Answer:
The simplified form of 8/18 is 4/9 and the simplified form of 5/35 is 1/7.
Explanation:
To simplify a fraction, we need to divide both the numerator and the denominator by their greatest common divisor. This process reduces the fraction to its lowest terms, which is the simplest form of the fraction. For example, when simplifying 8/18, we first found the greatest common divisor of 8 and 18, which is 2, and divided both terms by 2 to get 4/9. Similarly, for 5/35, the greatest common divisor is 5, so dividing both terms by 5 gave us 1/7. This method ensures that the fraction represents the same value but in its simplest form, making it easier to work with in further calculations.
