The product of a fraction and the sum of 3 by 1 /5 and 3 by 1/10 is 9/10. Find the fraction.
To find the fraction in this problem, we need to properly interpret the given information and set up an equation to solve for the unknown fraction.
Let's break down the problem step by step:
Step 1: Understand the given information
The given information states that we have two fractions: 3 by 1/5 (which means 3 times 1/5) and 3 by 1/10 (which means 3 times 1/10). We need to find the unknown fraction, denoted as "x".
Step 2: Set up the equation
The problem states that the product of a fraction and the sum of 3 by 1/5 and 3 by 1/10 is 9/10. The sum of 3 by 1/5 and 3 by 1/10 can be expressed as (3 * 1/5) + (3 * 1/10). So, the equation becomes:
(x) * [(3 * 1/5) + (3 * 1/10)] = 9/10
Step 3: Simplify the equation
To simplify the equation, we start by evaluating the parentheses:
(x) * [(3/5) + (3/10)] = 9/10
The least common denominator (LCD) for 5 and 10 is 10. So, we need to convert the fractions in the parentheses to have a denominator of 10:
(x) * [(6/10) + (3/10)] = 9/10
Simplifying further:
(x) * (9/10) = 9/10
Step 4: Solve for the unknown fraction
To solve for the unknown fraction, we'll divide both sides of the equation by (9/10):
[(x) * (9/10)] / (9/10) = (9/10) / (9/10)
By canceling out the (9/10) on both sides of the equation, we're left with:
x = 1
Therefore, the fraction x is equal to 1.
So, the answer is that the fraction is equal to 1.
I can't parse your words. Try using math symbols instead. Something like
x((3 * 1/5)+(3 * 1/10)) = 9/10
or something. You've mangled the values and operators.