Write two unit fractions that multiply to make 1/6
what are two factors of 6?
To find two unit fractions that multiply to make 1/6, we can set up the equation 1/n * 1/m = 1/6, where n and m are the unknown denominators.
To simplify the equation, we can cross-multiply and solve for n and m:
1 * 6 = n * m, which simplifies to 6 = n * m.
Now, let's find two values of n and m that satisfy this equation:
One possible solution is n = 2 and m = 3 because 2 * 3 = 6.
Therefore, the two unit fractions that multiply to make 1/6 are 1/2 and 1/3.
To find two unit fractions that multiply to make 1/6, we can set up an equation. Let's call the two unit fractions x and y, such that x multiplied by y equals 1/6.
So, the equation is: x * y = 1/6
To solve this equation, we can assume x = 1/n, where n is a positive integer. Then, we can rewrite the equation as:
1/n * y = 1/6
To eliminate the fraction, we can cross-multiply:
6 = ny
Now, we have an equation in terms of n and y. We need to find values of n and y that satisfy this equation.
Let's list down the factors of 6 to explore possible values for n and y:
1 x 6 = 6
2 x 3 = 6
Since we are looking for unit fractions (fractions with a numerator of 1), we disregard 6 as it is not a unit fraction.
Now, let's substitute n with the factors we found and solve for y:
1/n * y = 1/6
1/2 * y = 1/6
y = 1/6 ÷ 1/2
y = 1/6 x 2/1
y = 2/6
y = 1/3
So, one possible solution is x = 1/2 and y = 1/3.
Let's try the other factor:
1/n * y = 1/6
1/3 * y = 1/6
y = 1/6 ÷ 1/3
y = 1/6 x 3/1
y = 3/6
y = 1/2
Therefore, another possible solution is x = 1/3 and y = 1/2.
To summarize, two unit fractions that multiply to make 1/6 are:
x = 1/2 and y = 1/3
x = 1/3 and y = 1/2