robin is making bows to sell at her mothers yard sale she will use 3/4 foot of a ribbon and 2/3 of blue ribbon what is the ratio of the length of the blue ribbon to the red ribbon explain how its 2/3 to 3/4
To find the ratio of the blue ribbon to the red ribbon, we need to compare the lengths of the two ribbons.
Robin is using 2/3 of blue ribbon, which means she is using 2 out of 3 parts of the blue ribbon.
Robin is using 3/4 foot of red ribbon, which means she is using 3 out of 4 parts of the red ribbon.
To put the ratio in simplest form, we can multiply both the numerator and the denominator of each fraction by the same number to make the denominators equal. In this case, we can multiply the numerator and the denominator of the blue ribbon fraction by 4, and the denominator of the red ribbon fraction by 3.
2/3 x 4/4 = 8/12
3/4 x 3/3 = 9/12
Now, the ratio of the blue ribbon to the red ribbon is 8/12 to 9/12 or simply 8 to 9.
To explain how it's 2/3 to 3/4, we can observe that when we divide both the numerator and the denominator of the blue ribbon fraction by the same number (4), it gets reduced to 2/3. Similarly, when we divide both the numerator and the denominator of the red ribbon fraction by the same number (3), it gets reduced to 3/4.
To find the ratio of the length of the blue ribbon to the red ribbon, we need to compare the lengths of the blue and red ribbons.
First, let's express the lengths of the ribbons in terms of a common fraction. Robin will use 3/4 foot of red ribbon and 2/3 foot of blue ribbon.
To compare the lengths, we need to find the least common multiple (LCM) of the denominators, which in this case is 12.
Now, let's find the equivalent fractions with a denominator of 12:
3/4 in terms of twelfths is 9/12 (multiplied the numerator and denominator by 3)
2/3 in terms of twelfths is 8/12 (multiplied the numerator and denominator by 4)
So, the ratio of the length of the blue ribbon to the red ribbon is 8/12 to 9/12, which can be simplified to 2/3 to 3/4.
To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which in this case is 1.
The simplified ratio becomes 2/3 to 3/4.