Let r represent the radius of the smaller circle and R the radius of the larger
circle.
Apply ratios: the radius of the smaller circle to the radius of the larger circle.
r: R = 3 : 7.
I complete rotation = 360 degrees.
1st:
For one complete rotation of the smaller circle, the larger circle is rotated through (3/7)*(360) = 154.3 degrees
2nd:For one complete rotation of the larger circle, the larger circle is rotated through (7/3)*(360) = 840.0 degrees
This is equivalent to (840/360) = 2.3 rotations
Alternatively, use the ratios: The number of rotations = R/r = 7/3 = 2.3 rotations
Hope this helped☺☺
The gcf of 88 and 120 is 8.
The quotient would be less than the dividend because when you divide a fraction less than 1 by a number greater than one, you are dividing a fraction by another term. Any fraction less than 1 divided by a whole number, the equation converted into a multiplication sentence would become the fraction multiplied by the term as the denominator and the numerator as a one, which a fraction multiply a fraction would be a quotient less than the dividend.
None of these are actually using the distributive property.
The distributive property can be shown below:
a(b + c) = ab + ac
Nothing in this problem is actually using the distributive property to simplify this.
2/3 / 4 = 2/3 / 4/1 During division, the 2nd fraction flips over and the sighn becomes its opposite. division to multiplication.
2/3 * 1/4 =2/12 or 1/6.
