Write two equivalent fractions 8 = ?/2 = ?/1 8 = ?/?2 = ?/?1 (Type whole
The Correct Answer and Explanation is:
Answer:
8 = 16/2 = 8/1
8 = 24/3 = 40/5
Explanation:
Fractions are a way to represent parts of a whole or to show division. When we say a number like 8 equals a fraction such as 16/2 or 8/1, we’re using equivalent forms of the same number.
To find equivalent fractions for 8, we simply multiply or divide both the numerator (top number) and denominator (bottom number) of a fraction by the same nonzero number. This is because multiplying or dividing both parts of a fraction by the same number does not change its value—it only changes its appearance.
Let’s look at the first set:
- 8 = 16/2
To get this, take the whole number 8 and multiply the denominator 2 by 8:
8 × 2 = 16 → so 16 ÷ 2 = 8 - 8 = 8/1
Any whole number can be written as itself over 1. This is because dividing any number by 1 doesn’t change its value.
8 ÷ 1 = 8
Now for the second set of equivalent fractions:
- 8 = 24/3
Divide 24 by 3:
24 ÷ 3 = 8, so 24/3 is another way to write 8 - 8 = 40/5
Divide 40 by 5:
40 ÷ 5 = 8, so this is also equal to 8
You can generate infinite equivalent fractions for 8 by multiplying 8 by any whole number and placing the product as the numerator, with the same multiplier as the denominator. For example, 8 = (8×6)/(1×6) = 48/6
This understanding of equivalent fractions is important in simplifying expressions, solving equations, and comparing values in algebra and arithmetic.
