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ankoles [38]
3 years ago
14

How do you find equivalent mixed numbers

Mathematics
2 answers:
masya89 [10]3 years ago
7 0

<span>A Mixed Fraction is a whole number and a proper fraction combined.

Such as 1 <span>3/4</span></span>

<span>
</span>
irina1246 [14]3 years ago
3 0
How to find the mixed number to a fraction:

Let's take 3/2 for instance.

1) You will see how many times the denominator (bottom number) goes into the numerator (top number) in this case that is one time.

2) You will place that number (1) off to the side like so --> 1

3) Then you will see how many parts are left, in this case that is 1 and place that number over the original denominator like so: 1/2

4) Finally you will just combine to get your answer- 1 1/2

Hope I helped,
-CSX :)
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43 coins, no nickels, $4.51 equal amount amount of pennies and dimes, how many of each coin
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Set up
Let the dimes = d
Let the pennies = p
Let the quarters = q

Equations
You cannot mean that the pennies and dimes have equal numbers. That would mean that each had 21.5 members. Now could you mean that the dime and penny amount could be the same with 43 coins that total 4.00. Four dollars means that you need 40 dimes alone. It must mean that you are including quarters. 

p + d + p = 43          (1)
p = d                        (2)
p +10d +25q = 451  (3)

Note how this last equation = was derived. You have to multiply the dimes by 10 and he quarters by 100 and the total by 100 to get the numbers all in pennies.

Put the results of 2 into 1.
2p  + q = 43                   (4)  
You need to modify equation 3 as well.
p + 10p + 25q = 451
11p + 25q  = 451           (5)

Solve the new equations
2p +  q = 43               (4)
11p + 25q = 451        (5)

Multiply 4 by 25
25(2p- + q = 43)
50p + 25q = 1075     (6)  Subtract (5) from (6)
<u>11p + 25q = 451
</u>39p = 624                        Divide by 39
p = 624 / 39
p = 16

Since the pennies and dimes are equal there are 16 dimes
p + d + q = 43
16 + 16 + q = 43
32 + q = 43
q = 11

Check
16 + 10*16 + 11*25 = ?
16 + 160 + 275  = ?
451 = ?

Nice problem. Thanks for posting.
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