Math  /  Numbers & Operations

QuestionWrite two mixed numbers that have a sum of 3 .

Studdy Solution

STEP 1

1. Mixed numbers consist of an integer part and a fractional part.
2. The sum of the two mixed numbers should equal 3.

STEP 2

1. Define the mixed numbers.
2. Set up an equation for their sum.
3. Solve for the mixed numbers.

STEP 3

Define the two mixed numbers. Let the first mixed number be a+bc a + \frac{b}{c} and the second mixed number be d+ef d + \frac{e}{f} .

STEP 4

Set up an equation for their sum:
(a+bc)+(d+ef)=3\left(a + \frac{b}{c}\right) + \left(d + \frac{e}{f}\right) = 3

STEP 5

Choose values for a,b,c,d,e, a, b, c, d, e, and f f such that the equation holds true. For simplicity, let's choose a=1 a = 1 , b=1 b = 1 , c=2 c = 2 , d=1 d = 1 , e=1 e = 1 , and f=2 f = 2 .
1+12+1+12=2+1=31 + \frac{1}{2} + 1 + \frac{1}{2} = 2 + 1 = 3
The two mixed numbers that sum to 3 are:
112 and 1121 \frac{1}{2} \text{ and } 1 \frac{1}{2}

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