how do you keep the ratio 10/6 if you add 112
To keep the ratio 10/6 and add 112 to it, you would need to multiply both the numerator and the denominator of the ratio by the same number.
To do this, you can find the least common multiple (LCM) of 10 and 6, which is 30.
Then, multiply both the numerator (10) and denominator (6) of the ratio by 30. This gives you:
10/6 * 30 = 300/180
Now, when you add 112 to the numerator, the ratio becomes:
(300 + 112) / 180 = 412 / 180
Thus, the ratio 10/6 can be maintained while adding 112 by expressing it as 412/180.
To keep the ratio 10/6 when adding 112, you need to maintain the same ratio between the two numbers. Here are the steps:
1. Start with the original ratio, 10/6.
2. Multiply both the numerator (top number) and denominator (bottom number) of the ratio by the same value. This is done to maintain the ratio while adjusting the scale.
3. Determine the value to multiply by: The original denominator is 6. Multiply it by the same value x in order to get the new denominator. Therefore, 6 * x = 112.
4. Solve for x: Divide both sides of the equation by 6 to isolate x. x = 112 / 6 = 18.6667 (rounded to 4 decimal places).
5. Multiply both the numerator and denominator of the original ratio by the calculated value of x. Multiply 10/6 by 18.6667: (10 * 18.6667) / (6 * 18.6667) = 186.667 / 112.
6. Simplify the resulting ratio, if needed: In this case, the ratio cannot be simplified further, so the final ratio is 186.667/112.
Therefore, by multiplying the original ratio 10/6 by 18.6667, you can maintain the same ratio when adding 112, resulting in a new ratio of 186.667/112.