please guide me in writing this ratio to the simpliest form - 3 1/2 to 14
double it:
7 to 28. Now reduce it by dividing by seven:
1 to 4
Would the equation be this? Because I need to see the equation piece in getting the answer?
3 1/2 = 7/2 = 7*2 = 14
14 = 14/2 = 14*2 = 28
14/28 = 1/2(simpliest form)
To simplify the ratio 3 1/2 to 14, we first need to convert the mixed number (3 1/2) to an improper fraction.
To convert 3 1/2 to an improper fraction, we multiply the whole number (3) by the denominator of the fraction (2) and add the numerator (1) to it. Then we put the result over the denominator.
So, 3 1/2 can be converted to an improper fraction as follows:
3 * 2 + 1 = 6 + 1 = 7
7/2
Now that we have the improper fraction, we can write the ratio as:
7/2 to 14
To simplify the ratio, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 7 and 2 is 1.
Dividing both the numerator and denominator by 1 gives us:
7/1 divided by 2/1, which simplifies to 7/2
Therefore, the simplified form of the ratio 3 1/2 to 14 is 7/2.