Use the missing factor method to find the quotient 3/5 divided by 2/3? What is the missing factor method?
The missing factor method is a way to find the quotient when dividing fractions. Here's how it works:
1. First, write down the division problem: 3/5 ÷ 2/3.
2. To use the missing factor method, you need to create equivalent fractions by multiplying both the numerator and the denominator of the divisor (the fraction you're dividing by) by the same number. In this case, the divisor is 2/3.
So, we will multiply both the numerator and the denominator of 2/3 by the missing factor. Let's call the missing factor "x".
The equivalent fraction of 2/3 after multiplying by x would be (2 * x)/(3 * x).
3. Now, rewrite the division problem with the equivalent fractions: 3/5 ÷ (2 * x)/(3 * x).
4. The division of fractions is the same as multiplying by the reciprocal of the divisor. So, we can rewrite the problem as: 3/5 * (3 * x)/(2 * x).
5. Next, simplify the expression. Cancel out any factors that are the same in the numerator and the denominator:
- Cancel out the factor of 3 in the numerator and the denominator: 3/5 * (1 * x)/(2 * x).
- Cancel out the common factor of x: 3/5 * (1)/(2).
6. Multiply across the numerators and denominators: 3 * 1 / 5 * 2.
This simplifies to: 3/10.
So, 3/5 ÷ 2/3 is equal to 3/10.
Using the missing factor method allowed us to find the quotient by creating equivalent fractions and simplifying the expression step by step.
It is a silly method of teaching fractions.
3/5÷2/3 = f where f is the "missing factor"
well, if the above is true, then
f × 2/3 = 3/5
doing the "cross multiplication" then
f= 9/10