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AnnyKZ [126]
3 years ago
5

How do I add and subtract unlike fractions

Mathematics
2 answers:
Mariulka [41]3 years ago
5 0
You have to make the denominator (bottom number of a fraction) of each fraction the same.
For example:
1/2 + 2/3
To make the denominator the same, multiply the denominator of the first fraction (2) by the denominator of the second fraction (3), then do the opposite with the second fraction :
1/2 + 2/3
Multiply both TOP and BOTTOM by 3:
3/6
Multiply both TOP and BOTTOM by 2:
4/6
As you can see the denominator of both fractions are now the same, which means we can add them:
3/6 + 4/6 = 7/6

And you would use this same method for subtraction too!
Hope this helped :)
vazorg [7]3 years ago
4 0
You add and subtract unlike fractions by finding a common denominator, which is basically the LCM (Least Common Multiple) of the two numbers. Then, once the two fractions have the same base, you can straight up add the numerators, and if possible, simplify. Here are some examples:
1/5 + 3/10 = ?
Denominators = 5, 10
What is the LCM?
=> 10
Therefore...
1/5 × (2/2) + 3/10 = ? (The paranthesis next to 1/5 shows how we are creating a common denominator)
2/10 + 3/10 = ?
= 5/10
= 1/2 (Simplify)
Hope this helped and have a phenomenal day!
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In a highway building project, 32 miles of a new highway have been
pychu [463]

Answer: 105 miles

Step-by-step explanation:

You can write an equation for this problem and solve it.

32 miles=1/3x-3, where x is equal to the total length of the highway.

35=1/3x, and then you multiply by 3, to get x=105

7 0
3 years ago
At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number
yKpoI14uk [10]

Answer:

<em>Hot dog sold = 33</em>

<em>Sodas Sold = 72</em>

Step-by-step explanation:

<u><em>Given:</em></u>

<em>At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold</em>

<u><em>To Find:</em></u>

<em>Number of soda/hot dog sold</em>

<u><em>Solve:</em></u>

<em>h + ( 39 + h ) = 105</em>

<em>h + 39 + h = 105</em>

<em>2h + 39  = 105</em>

<em>h + 19.5 = 52.5</em>

<em>h = 52.5 - 19.5 </em>

<em>This as a system does not use any inequality. "39 more than" means, +39.</em>

<em>h = 33    meaning    d= 72</em>

<em />

<em>Add to check Answer:</em>

<em>33 + 72 = 105</em>

<em>Thus,</em>

<em>Hot dog sold = 33</em>

<em>Sodas Sold = 72</em>

<em />

<u><em>Kavinsky </em></u>

3 0
2 years ago
Solve for h.<br> 15.3 + 1 h =1.3- 1 h
Iteru [2.4K]

Answer:

-7 = h

Step-by-step explanation:

15.3 + 1h = 1.3 - 1h

<u>         +1h          +1h</u>

15.3 + 2h = 1.3

Remember what you do to one side you MUST do to the other.

 15.3 + 2h = 1.3

<u>-15.3           -15.3</u>

2h = -14

Now to isolate the variable you divide both sides by 2 to get, h = -7

Hope that helps and have a great day!

6 0
3 years ago
Read 2 more answers
-7x^2+14x+21=0<br>answer?​
scoray [572]

Answer:

7(−x−1)(x−3)

Step-by-step explanation:

6 0
3 years ago
A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were
Sedaia [141]

Answer:

2044 cups

Step-by-step explanation:

number of cups left = number of cups in the watering can - number of cups remaining

convert the capacity of the watering can to cups

1 quart = 4 cups

512 x 4 = 2048

2048 - 4 = 2044

8 0
3 years ago
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