Given that 𝑎 : 𝑏 =3:14 and that 𝑏 : 𝑐 =7:3, find the ratio 𝑎 : 𝑏 : 𝑐Give your ratio in its simplest form with integer parts.

Step 1: We are given two ratios, a:b = 3:14 and b:c = 7:3.

Step 2: To find the ratio a:b:c, we need to make the 'b' in both ratios the same.

Step 3: To do this, we can multiply the second ratio by 14 (since 14 is the 'b' in the first ratio). This gives us b:c = 98:42.

Step 4: Now, we can write the ratio a:b:c as 3:14:42.

Step 5: To simplify this ratio, we find the greatest common divisor (GCD) of 3, 14, and 42. The GCD is 1.

Step 6: Therefore, the ratio a:b:c in its simplest form with integer parts is 3:14:

Step 1: We have two ratios given, a:b = 3:14 and b:c = 7:3.

Step 2: To find the ratio a:b:c, we need to make the 'b' term in both ratios the same.

Step 3: To do this, we multiply the second ratio by 2, giving us b:c = 14:6.

Step 4: Now that the 'b' term in both ratios is the same, we can combine the two ratios to get a:b:c = 3:14:6.

Step 5: Simplify the ratio by dividing all parts by the greatest common divisor, which is 1.

So, the ratio a:b:c in its simplest form with integer parts is 3:14:6.