How do I solve this?
2
{2/3 } / 4/5 / 1/3
{4/9} / 4/4 / 1/3
How do I cross multily the numbers?
Is the (2/3) supposed to be squared?
Is the (4/5)/(1/3) in a denominator below (2/3) ?
You need to use more parentheses or brackets to clarify the order of operations.
(4/5)/(1/3) is the same thing as (4/5)x(3), which is 12/5. Use that as the denominator.
In your second question, you can always replace 4/4 with a 1. That leaves you with
(4/9)/ [1/(1/3)] = (4/9)/3 = 4/27
To solve the given expressions, you need to follow the rules of arithmetic operations and apply them correctly. Let's break it down step by step.
For the first expression:
2 / ({2/3} / 4/5 / 1/3)
First, let's simplify the innermost part:
- (2/3) / (4/5) / (1/3)
- To divide fractions, you can multiply by the reciprocal.
- (2/3) * (5/4) * (3/1)
- Multiply the numerators and the denominators.
- (2 * 5 * 3) / (3 * 4 * 1)
- 30 / 12
- Divide 30 by 12.
- 2.5
So, the value of this expression is 2.5.
For the second expression:
{4/9} / 4/4 / 1/3
It seems you might be missing some necessary parentheses or brackets to indicate the intended order of operations. However, with the given expression, let's make some assumptions and solve it.
Assuming the expression means:
- (4/9) / (4/4) / (1/3)
First, let's simplify the innermost part:
- (4/9) / 1 / (1/3)
- Multiply the denominator with the numerator.
- (4/9) / 1 / (3/1)
- (4/9) * (1/1) * (1/3)
- Multiply the numerators and the denominators.
- (4 * 1 * 1) / (9 * 1 * 3)
- 4 / 27
So, the value of this expression is 4/27.
In both cases, it is essential to use brackets or parentheses to indicate the order of operations more explicitly. This helps avoid confusion and ensures accurate interpretation of the given expression.