How do two fractions have a sum of exactly 1

thx so much!!

well, easy

think of some
1/2 + 1/2 = 2/2 = 1
1/3 + 2/3 = 3/3 = 1
sum of tops must equal denominator when denominators are the same
that means you need to put them over a common denominator, but you have to do that to add them anyway.

1 pizza

Cut into two equal pieces and you have 1/2 + 1/2 = 1

Cut into three equal pieces and you have 1/3 + 1/3 + 1/3 = 1

Cut it into two unequal pieces, you may have 1/4 + 3/4 = 1

Thanks Damon, Is there an easy way to explain it to a third grader?

I suggest you demonstrate with a pizza or with a cookie or even a piece of paper.

You're welcome, Matt.

how do two fractions have a sum of exactly 1.

Its easy think or tell mom,dad,teacher.

To find two fractions whose sum is exactly 1, we can use a simple method called solving a system of equations. Let's assume the fractions are represented by the variables x and y.

To start, we can set up the following system of equations:

Equation 1: x + y = 1

This equation ensures that the sum of the fractions is 1.

Now, we need to find a relationship between x and y that satisfies this equation. One way to do this is to set one of the variables equal to a constant value and solve for the other variable.

Let's assume we set x = 1/2. If we substitute this value into Equation 1, we get:

(1/2) + y = 1

Now, we can solve this equation for y:

y = 1 - (1/2)
y = 1/2

Therefore, if we set x = 1/2, the corresponding value of y is also 1/2.

So, the fractions that have a sum of exactly 1 are x = 1/2 and y = 1/2.

THANKS Ms.Sue