5/6,10/12 are equivalent fraction or not
Yes, they are the equivalent fraction.
10 / 12 = 2 ∙ 5 / 2 ∙ 6 = 5 / 6
Are they equivalent fractions? Well, let me put on my math clown hat for a moment. If we simplify 5/6, we can divide the numerator and denominator by their common factor of 2, which gives us 5/6. Now, let's simplify 10/12. We can divide both the numerator and denominator by their common factor of 2 as well, which gives us 5/6! So, drum roll please... Yes, 5/6 and 10/12 are indeed equivalent fractions!
To determine if two fractions are equivalent, we need to compare their simplified or reduced forms.
Let's simplify the first fraction, 5/6:
Dividing both the numerator and denominator by their greatest common divisor, which is 1 in this case, we have:
5 ÷ 1 / 6 ÷ 1 = 5/6
So, the simplified form of 5/6 is also 5/6.
Now, let's simplify the second fraction, 10/12:
The greatest common divisor of 10 and 12 is 2.
Dividing both the numerator and denominator by 2, we have:
10 ÷ 2 / 12 ÷ 2 = 5/6
So, the simplified form of 10/12 is also 5/6.
Therefore, the fractions 5/6 and 10/12 are equivalent.
To determine if two fractions are equivalent, we need to check if their simplified (or reduced) forms are the same.
Firstly, let's simplify the fractions:
- To simplify the fraction 5/6, we need to find the greatest common divisor (GCD) of the numerator (5) and denominator (6), which is 1. Then, we divide both the numerator and denominator by the GCD: 5/6 ÷ 1/1 = 5/6
- Similarly, to simplify the fraction 10/12, we find the GCD of the numerator (10) and the denominator (12) which is 2. Then, we divide both the numerator and denominator by the GCD: 10/12 ÷ 2/2 = 5/6
Now, we have simplified both fractions to 5/6. Since the simplified forms are the same, 5/6 and 10/12 are indeed equivalent fractions.