The product of two number is 20 5/7. If one of the number is 6 2/5 find the other
To find the other number, we can divide the product by the given number.
First, let's convert 6 2/5 to an improper fraction:
6 2/5 = (5*6 + 2)/5 = 32/5
Now, divide the product 20 5/7 by 32/5:
(20 5/7) ÷ (32/5)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. So,
(20 5/7) ÷ (32/5) = (20 5/7) * (5/32)
Let's add the whole number and fraction separately:
20 * 5/32 + 5/7 * 5/32
Multiply the numerators and denominators:
(100/32) + (25/32)
Combine the fractions:
125/32
The other number is 125/32 or 3 29/32.
To find the other number, we can use the concept of division.
Step 1: Convert the mixed numbers to improper fractions.
The first number is 6 2/5, which can be written as 32/5.
Step 2: Multiply the two numbers to find their product.
Let x be the other number we need to find.
The product of the two numbers is given as 20 5/7, which can be written as 147/7.
So, we have the equation 32/5 * x = 147/7.
Step 3: Simplify the equation.
To do this, we can cross-multiply.
(32/5) * x = (147/7)
(32 * x) / 5 = 147 / 7
Step 4: Solve for x.
Cross-multiplying gives us:
(32 * x) * 7 = 147 * 5
224x/5 = 735/1
To isolate x, we multiply both sides of the equation by 5.
(224x * 5) / 5 = (735/1) * 5
224x = 3675
To solve for x, divide both sides of the equation by 224.
224x / 224 = 3675 / 224
x = 16.42 (rounded to two decimal places)
Therefore, the other number is approximately 16.42.