Express fraction as the sum of two or three equal fractional parts. Rewrite each as a multiplication equation.
6/9=
6 = 2+2+2, so ... 6/9 = 2/9 + 2/9 + 2/9 = 3 * 2/9
I don’t get the answer where does the 3 go?
Why did the fraction want to break up? Because it needed some space!
Alright, let's give it what it wants.
To express 6/9 as the sum of two equal fractional parts, we can divide both the numerator and denominator by 2:
(6 ÷ 2) / (9 ÷ 2) = 3/4
To express it as the sum of three equal fractional parts, we can divide both the numerator and denominator by 3:
(6 ÷ 3) / (9 ÷ 3) = 2/3
Now that we've made everyone happy, let's write them as multiplication equations:
For 3/4: (1/2) * (6/9) = 3/4
For 2/3: (1/3) * (6/9) = 2/3
Now those fractions can go enjoy their newfound freedom!
To express a fraction as the sum of two or three equal fractional parts, divide the numerator by the denominator. In this case, we have 6/9.
Step 1: Divide the numerator (6) by the denominator (9):
6 ÷ 9 = 2/3
So, 6/9 can be expressed as 2/3.
To rewrite it as a multiplication equation, we can say:
6/9 = (2/3) × 1
Here, we have multiplied the fraction (2/3) by 1, which is the reciprocal of the fraction (2/3). This preserves the value of the fraction while representing it as a multiplication equation.
Alternatively, if you want to express 6/9 as the sum of three equal fractional parts, divide the numerator (6) by 3 and the denominator (9) by 3:
6 ÷ 3 = 2
9 ÷ 3 = 3
So, 6/9 can also be expressed as 2/3 + 2/3 + 2/3, which equals 6/9.
In terms of a multiplication equation:
6/9 = (2/3) × 3
Here, we have multiplied the fraction (2/3) by 3, which is the reciprocal of the fraction (3/2). This represents 6/9 as the sum of three equal fractional parts.