Find each quotient.
A. 7/3 ÷3 1/2
B. 5/6 ÷ -18
I'll show you the first one.
7/3 ÷3 1/2
7/3 ÷ 7/2 = 7/3 * 2/7 = 14/21 = 2/3
Hi Ms. Sue
5/6 ÷ -18
5/6 x -1/18= -5/108
Did I do this right?
Yes. That is correct. :-)
Yes! Thank you Ms. Sue
You're welcome, Hanna.
To find each quotient, we need to divide the numbers. Let's go through each problem step by step.
A. 7/3 ÷ 3 1/2:
To divide a fraction by a whole number or a mixed number, we can convert the whole number or mixed number into a fraction first.
In this case, we have to convert 3 1/2 into a fraction. To do that, we multiply the whole number (3) by the denominator of the fraction (2) and add the numerator (1). Then, we place that result over the denominator.
3 1/2 = (3 * 2 + 1) / 2 = 7/2
Now, we can rewrite the problem as:
7/3 ÷ 7/2
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction (flipping the numerator and denominator).
So, we can rewrite the problem as:
7/3 * 2/7
Multiply the numerators together (7 * 2 = 14) and the denominators together (3 * 7 = 21):
14/21
Simplifying the fraction, we can divide both the numerator and denominator by 7:
14 ÷ 7 / 21 ÷ 7 = 2/3
Therefore, the quotient is 2/3.
B. 5/6 ÷ -18:
First, let's rewrite the problem as:
5/6 ÷ -18/1
To divide a fraction by an integer, we can convert the integer into a fraction by placing it over 1.
Then, we can multiply the numerators together (5 * 1 = 5) and the denominators together (6 * -18 = -108):
5/6 * 1/-108
Simplifying the fraction, we can divide the numerator by their greatest common divisor (GCD), which is 1 in this case:
5 ÷ 1 / 6 ÷ 1 / -108
5/6 / -108
Now, to divide fractions, we multiply the first fraction by the reciprocal of the second fraction (flipping the numerator and denominator):
5/6 * -1/108
Multiply the numerators together (5 * -1 = -5) and the denominators together (6 * 108 = 648):
-5/648
Therefore, the quotient is -5/648.