GStart by rewriting the the expression so that all of the numbers are fractions.
HThe product of two numbers with different signs is negative.
A9/20
B- 3/20
C209 or 2 29
D4916 or 3 116
E- 1/16
F- 14/75
G- 44740 or - 11 740
H- 24
Practice makes perfect
Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
9/15÷4/3=9/15*3/4
When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!
When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators.
- 19/20 + 4/5Since 20 is a multiple of 5, we can multiply both the numerator and denominator of 45 by 4 to create a common denominator.
Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
- 8/9÷ ( - 2/5)=- 8/9* (- 5/2)
When multiplying fractions, the product will be positive if the signs are the same and it will be negative if the signs are different.
cc
Same Sign & Different Signs
(+)(+)=(+) & (+)(-)=(-)
(-)(-)=(+) & (-)(+)=(-)
In our case both numbers are negative, so the product will be positive.
Now, we can recall that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!
When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators.
- 3/4 - (- 11/16)Since 16 is a multiple of 4, we can multiply both the numerator and denominator of - 34 by 4 to create a common denominator.
We want to simplify the given expression.
2/9* 14/15* (- 9/10)
First, we can start by rearranging the expression using the Commutative Property of Multiplication.
When adding or subtracting fractions, they should have the same denominator. In this exercise, we have two fractions with different denominators.
- 54/5+(- 3/8)
Since 40 is a multiple of both 5 and 8, we can multiply both the numerator and denominator of - 545 by 8 to create a common denominator.
Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
12/5÷ ( - 1/10)=12/5* (- 10/1)When multiplying fractions, the product will be positive if the signs are the same and it will be negative if the signs are different.
cc
Same Sign & Different Signs
(+)(+)=(+) & (+)(-)=(-)
(-)(-)=(+) & (-)(+)=(-)
In our case one number is positive and one number is negative, so the product will be negative.
