find the value for (m) that makes each number sentence true
a. 2/3 x 4/5 x m =1/3
b. 4/5 x 2/3 x m =1/3
c.2/3 x 4/5 = 1/3 / m
assuming you just want confirmation of your answers, I get
5/8
for all three
A.5/6
B.5/8
C.?
What is C.
i just want the answer ,
okay
To find the value of (m) that makes each number sentence true, let's solve each equation step by step.
a. 2/3 x 4/5 x m = 1/3
First, multiply the fractions:
(2/3) x (4/5) x m = 1/3
The product of the fractions can be simplified:
(8/15) x m = 1/3
To isolate (m), divide both sides of the equation by (8/15):
m = (1/3) / (8/15)
To divide fractions, we invert and multiply:
m = (1/3) x (15/8)
Multiply the numerators and denominators:
m = 15/24
Simplify the fraction if needed.
b. 4/5 x 2/3 x m = 1/3
Again, multiply the fractions:
(4/5) x (2/3) x m = 1/3
The product of the fractions simplifies to:
(8/15) x m = 1/3
Divide both sides of the equation by (8/15):
m = (1/3) / (8/15)
Invert and multiply to divide fractions:
m = (1/3) x (15/8)
Multiply the numerators and denominators:
m = 15/24
Simplify if necessary.
c. 2/3 x 4/5 = 1/3 / m
Multiply the fractions on the left side:
(2/3) x (4/5) = 1/3 / m
The product simplifies to:
8/15 = 1/3 / m
To get rid of the fraction on the right side, multiply both sides by (m/1):
(8/15) x m = 1/3
Multiply the fractions on the left side:
(8/15) x m = 1/3
Divide both sides of the equation by (8/15):
m = (1/3) / (8/15)
Invert and multiply to divide fractions:
m = (1/3) x (15/8)
Multiply the numerators and denominators:
m = 15/24
Simplify if needed.
In all three number sentences, the value of (m) is 15/24 or it can be simplified further if possible.