Multiply and divide rational numbers practice
To practice multiplying and dividing rational numbers, let's go through some examples:
1) Multiply 1/2 and 3/4:
To multiply fractions, multiply the numerators and denominators separately.
So, (1/2) * (3/4) = (1 * 3) / (2 * 4) = 3/8.
2) Divide 4/5 by 2/3:
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
So, (4/5) / (2/3) = (4/5) * (3/2) = (4 * 3) / (5 * 2) = 12/10 = 6/5.
3) Multiply -5/6 and -2/3:
When multiplying negative fractions, the negative signs cancel each other out.
So, (-5/6) * (-2/3) = (5/6) * (2/3) = (5 * 2) / (6 * 3) = 10/18 = 5/9.
4) Divide -15/8 by 5/4:
Again, multiplying by the reciprocal:
(-15/8) / (5/4) = (-15/8) * (4/5) = (15 * 4) / (8 * 5) = 60/40 = 3/2.
5) Multiply 2/3 and -6:
To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number.
So, (2/3) * (-6) = (2 * -6) / 3 = -12/3 = -4.
Make sure to simplify the fractions whenever possible by dividing the numerator and denominator by their greatest common factor.
A group of 9 people won 1/5 of a $4,500. How much money did each person in the group win
To find out how much money each person won, we need to divide the total amount won by the number of people in the group.
The total amount won is 1/5 of $4,500, which can be calculated by multiplying the fraction with the whole number:
(1/5) * $4,500 = $4,500/5 = $900
Since there are 9 people in the group, we divide the total amount won by the number of people:
$900 / 9 = $100
Therefore, each person in the group won $100.
how many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese
To find out how many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese, we need to multiply the fractions and then multiply the result by 10.
First, let's multiply 1/2 by 1/5:
(1/2) * (1/5) = (1 * 1) / (2 * 5) = 1/10
Now, let's multiply the result by 10 to find out the number of ounces:
(1/10) * 10 = 1
Therefore, 1/2 of 1/5 of a 10-ounce block of cheese is 1 ounce.
hey bot can u give me all the answers for multiply and divide rational numbers practice
Certainly! Here are the answers for the examples provided:
1) Multiply 1/2 and 3/4:
(1/2) * (3/4) = 3/8
2) Divide 4/5 by 2/3:
(4/5) / (2/3) = 6/5
3) Multiply -5/6 and -2/3:
(-5/6) * (-2/3) = 5/9
4) Divide -15/8 by 5/4:
(-15/8) / (5/4) = 3/2
5) Multiply 2/3 and -6:
(2/3) * (-6) = -4
If you have additional questions or need further assistance, feel free to ask!
Use the properties of operations and rules for mutiplying and dividing to solve -3 divided 3/4 times 2/7 times -5/16 divided 5/7
To solve the expression (-3 ÷ 3/4) * (2/7) * (-5/16 ÷ 5/7), we can proceed step by step, following the order of operations:
First, let's simplify the divisions within the expression:
-3 ÷ 3/4 = -3 * 4/3 = -12/3 = -4
-5/16 ÷ 5/7 = -5/16 * 7/5 = -35/80 (which can be simplified to -7/16)
Now, let's substitute these simplified divisions back into the expression:
(-4) * (2/7) * (-7/16)
Next, let's multiply the fractions together:
(-4) * (2/7) = -8/7
Lastly, let's multiply the resulting fraction with the remaining fraction:
(-8/7) * (-7/16) = 56/112 (which can be simplified to 1/2)
Therefore, the simplified expression is 1/2.
Use the properties of operations and rules for multiplying and dividing to solve 8/9 times -3/4 divided 1/9 times -4/5 divided 3/5
To solve the expression (8/9 * -3/4) ÷ (1/9 * -4/5 ÷ 3/5), we can follow the order of operations:
First, let's simplify the multiplication within the expression:
8/9 * -3/4 = (8*-3) / (9*4) = -24/36 = -2/3 (which can be simplified)
Next, let's simplify the division within the expression:
1/9 * -4/5 = (1*-4) / (9*5) = -4/45 (which can be simplified)
Now, let's substitute these simplified expressions back into the original expression:
(-2/3) ÷ (-4/45 ÷ 3/5)
To divide, we multiply by the reciprocal of the divisor:
(-2/3) * (5/3/(-4/45)) = (-2/3) * (5/3 * (-45/4)) = (-2/3) * (5 * (-45) / (3 * 4)) = (-2/3) * (-225/12)
To multiply fractions, multiply the numerators and denominators:
(-2 * -225) / (3 * 12) = 450/36 (which can be simplified)
Simplifying the fraction:
450/36 = 25/2
Therefore, the expression simplifies to 25/2.
wonrg
I apologize if there was an error in my previous response. Let's solve the expression step by step starting from the beginning:
The given expression is (8/9 * -3/4) ÷ (1/9 * -4/5 ÷ 3/5)
First, let's simplify the multiplication within the expression:
8/9 * -3/4 = -24/36 = -2/3 (which can be simplified)
Next, let's simplify the division within the expression:
1/9 * -4/5 = -4/45
Now, let's simplify the remaining division within the expression:
-4/45 ÷ 3/5 = -4/45 * 5/3 = -20/135 (which can be simplified)
Substituting the simplified expressions back into the original expression, we have:
-2/3 ÷ -20/135
To divide, we multiply by the reciprocal of the divisor:
-2/3 * 135/(-20) = (-2 * 135) / (3 * -20) = -270/(-60) = 9/2
Therefore, the simplified expression is 9/2.
worng
Apologies for the mistake. Let's re-evaluate the expression step by step:
The given expression is (8/9 * -3/4) ÷ (1/9 * -4/5 ÷ 3/5)
First, let's simplify the multiplication within the expression:
8/9 * -3/4 = -24/36 = -2/3 (which can be simplified)
Next, let's simplify the division within the expression:
1/9 * -4/5 = -4/45
Now, let's simplify the remaining division within the expression:
-4/45 ÷ 3/5 = (-4/45) * (5/3) = (-4/45) * (5/3) = -20/135 (which can be simplified)
Substituting the simplified expressions back into the original expression, we have:
(-2/3) ÷ (-20/135)
To divide, we multiply by the reciprocal of the divisor:
(-2/3) * (135/-20) = (-2/3) * (-135/20) = (2/3) * (135/20) = 27/10
Therefore, the simplified expression is 27/10.