2/7 * __=2/21

* = Dividing

Could someone explain how to do this, very confused, haha. I don't need answers, just explanation.

2/7 x = 2/21

x = 2/21 * 7/2 = 7/21 = 1/3

oh shoot, didnt put choices, here:

A.2/7
B.1/3
C.3
D.21/2

I know its not A though because its 14

Oh thanks! That helped alot ^_^

To solve the equation 2/7 * __ = 2/21, we need to find the value that, when multiplied by 2/7, gives us 2/21. Let's break down the steps:

Step 1: Understand the meaning of multiplication. Multiplication is the operation of combining two or more numbers to find their product. In this case, we're trying to find a number that, when multiplied by 2/7, results in 2/21.

Step 2: Simplify the fractions. To make the calculation easier, let's simplify both fractions. 2/7 cannot be simplified further, while 2/21 can be simplified to 1/10.

Step 3: Set up the equation. We can write the equation as 2/7 * x = 1/10, where x is the value we're trying to find.

Step 4: Solve for x. To solve for x, we can multiply both sides of the equation by the reciprocal of 2/7. The reciprocal of 2/7 is 7/2. By multiplying both sides of the equation by 7/2, we get:

(2/7) * (7/2) * x = (7/2) * (1/10)
x = 1/10 * 7/2
x = 7/20

Step 5: Check our answer. We can verify our solution by substituting x = 7/20 back into the original equation: (2/7) * (7/2) * (7/20) = 2/21. Simplifying this expression results in 2/21, which matches the right side of the equation, confirming that our solution is correct.

So, the value of x that satisfies the equation 2/7 * x = 2/21 is x = 7/20.