Determine if 2.510=?1248 or 2.52=?1224 is a proportion.(1 point)
Responses
2.52=1224
Start Fraction 2.5 over 2 End Fraction equals Start Fraction 12 over 24 End Fraction
Neither is a proportion.
Neither is a proportion.
Both are proportions.
Both are proportions.
2.510=1248
Neither is a proportion.
To determine if 2.510 = 1248 is a proportion, we need to check if the two ratios are equal.
For the first ratio, 2.510, we can express it as a fraction: 2.5/10 = 25/100 = 1/4.
For the second ratio, 1248, we can express it as a fraction: 1248/1 = 1248/1 = 1248/1.
Now we need to see if the two fractions are equal:
1/4 = 1248/1.
To make the comparison easier, we can cross-multiply.
1 * 1 = 1248 * 4, which simplifies to 1 = 4992.
Since 1 does not equal 4992, the equation 2.510 = 1248 is not a proportion.
To determine if 2.510=?1248 or 2.52=?1224 is a proportion, we need to compare the ratios on both sides of the equation.
Let's start with 2.510=?1248. To check if it is a proportion, we need to simplify each side of the equation by dividing both numbers by their greatest common divisor, which is 2 in this case.
On the left side, 2.510 can be simplified to 1.255 by dividing both the numerator and denominator by 2. On the right side, 1248 can be simplified to 624 by dividing both numbers by 2 as well.
So the simplified equation is 1.255=?624. Since these ratios are not equal, 2.510=?1248 is NOT a proportion.
Now let's move on to 2.52=?1224. Similarly, we need to divide both numbers by their greatest common divisor, which is 4 in this case.
On the left side, 2.52 simplifies to 0.63 by dividing both the numerator and denominator by 4. On the right side, 1224 can be simplified to 306.
So the simplified equation is 0.63=?306. Since these ratios are not equal, 2.52=?1224 is also NOT a proportion.
Therefore, neither 2.510=?1248 nor 2.52=?1224 are proportions.