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Sagot :
Three more than three and one fourth
can be expressed as
3 + 3 1/4
as an expression
solving it, we should make the mixed number a improper fraction.
To do this, multiply the denominator by the whole number and add the result to the numerator, that will become the numerator and the denominator will still be the denominator.
3 1/4 = 4 x 3 + 1 = 13/4
Every whole number has a denominator of 1, so let us make 1 as a denominator of 3.
3/1
And then add it to 13/4.
3/1 + 13/4
Find the LCD.
In this case we are going to find the LCD of 3/1 and 13/4
Find the denominators: 1 and 4
Get the LCM: 1 - 1, 2, 3, 4, and 4 - 4, 8, 12, 16
As we can see, they both have 4. So therefore the LCD of 3/1 and 13/4 is 4
To find the numerator, plug in this formula in every fraction that we will add together.
LCD / DENOMINATOR x NUMERATOR = NEW DENOMINATOR
Plugging the formula:
3/1 = 4/1 x 3 = 12/4
13/4 = 4/4 x 13 = 13/4
Now, that the fractions are proper, (meaning that they have the same denominator) they can be added properly.
12/4 + 13/4 = 25/4
25/4 is an improper fraction, so it can be reduced by a mixed number to get the final answer.
25/4 = The answer is 6 with a remainder of 1 and a divisor of 4.
The answer will be the whole number: 6
The remainder will be the numerator: 1
The divisor or the same denominator will still be the denominator: 4
Re-writing the fraction, we got an answer of 6 1/4
can be expressed as
3 + 3 1/4
as an expression
solving it, we should make the mixed number a improper fraction.
To do this, multiply the denominator by the whole number and add the result to the numerator, that will become the numerator and the denominator will still be the denominator.
3 1/4 = 4 x 3 + 1 = 13/4
Every whole number has a denominator of 1, so let us make 1 as a denominator of 3.
3/1
And then add it to 13/4.
3/1 + 13/4
Find the LCD.
In this case we are going to find the LCD of 3/1 and 13/4
Find the denominators: 1 and 4
Get the LCM: 1 - 1, 2, 3, 4, and 4 - 4, 8, 12, 16
As we can see, they both have 4. So therefore the LCD of 3/1 and 13/4 is 4
To find the numerator, plug in this formula in every fraction that we will add together.
LCD / DENOMINATOR x NUMERATOR = NEW DENOMINATOR
Plugging the formula:
3/1 = 4/1 x 3 = 12/4
13/4 = 4/4 x 13 = 13/4
Now, that the fractions are proper, (meaning that they have the same denominator) they can be added properly.
12/4 + 13/4 = 25/4
25/4 is an improper fraction, so it can be reduced by a mixed number to get the final answer.
25/4 = The answer is 6 with a remainder of 1 and a divisor of 4.
The answer will be the whole number: 6
The remainder will be the numerator: 1
The divisor or the same denominator will still be the denominator: 4
Re-writing the fraction, we got an answer of 6 1/4
Expression: [tex]3 \frac{1}{4} [/tex] + 3
Method 1: Add the whole numbers, add the fractional part.
[tex]3 + 3 + 1/4 = 6 + 1/4 = 6 \frac{1}{4} [/tex]
Method 2: Change the mixed number to improper fraction; find the LCD/LCM, then re-write as similar fractions, the add.
LCD/LCM: 4
13/4 + 12/4 = 25/4 or 6 1/4
Method 1: Add the whole numbers, add the fractional part.
[tex]3 + 3 + 1/4 = 6 + 1/4 = 6 \frac{1}{4} [/tex]
Method 2: Change the mixed number to improper fraction; find the LCD/LCM, then re-write as similar fractions, the add.
LCD/LCM: 4
13/4 + 12/4 = 25/4 or 6 1/4
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