# 19 ½ – 13 ¼=

enotechris | College Teacher | (Level 2) Senior Educator

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The quick way to answer this is to observe that 1/4 is being subtracted from 1/2.  Since 1/4 + 1/4 = 1/2, 1/2 - 1/4 = 1/4. So treat the fractions as a separate subtraction.  Then you're left with 19 - 13, which is 6.  So your answer is 6 1/4.

The more formal way to do this is to multiply the denominator with the whole number, and add the result to the numerator to make a new fraction:

19 * 2 = 38 + 1 = 39,  or 39/2

Do the same with the other number

13 * 4 = 52 + 1 = 52, or 53/4

Now you need to subtract these two new fractions, but in order to do that, the denominators have to be the same, so we'll multiply 39/2 *2 to make 78/4

Now you can subtract 78/4 - 53/4 = 25/4 = 6.25

ms-mcgregor | High School Teacher | (Level 1) Educator Emeritus

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The answer is 6 and 1/4 or 6.25. To find the answer, I changed the fractions into decimals. Thus, 19 and 1/2 became 19.5 and 13 and 1/4 became 13.25. So 19.50 minus 13.25=6.25 or 6 and 1/4.

malkaam | Student, Undergraduate | (Level 1) Valedictorian

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19 ½ – 13 ¼=

To solve this we need to convert the whole numbers, so that it can be solved, in order to do that, lets first consider the first one:

19 ½

2 is to be multiplied by 19 and than 1 is to be added, therefore it becomes,

39/2

Lets now consider the second one:

13 ¼

4 is to be multiplied by 13 and 1 added, therefore,

53/4

Lets write them together now,

39/2 - 53/4

now they can neither be added nor subtracted as the denominator is different, therefore we change the denominator of the first one and make it 4, to do that 2 and 39 both must be multiplied by 2,

78/4 - 53/4

19.5 - 13.25

zumba96 | Student, Grade 11 | (Level 3) Valedictorian

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19 ½ – 13 ¼=

Change this into a mixed number

39/2-53/4=

Since there is a different denominator change it so it matches by multiplying 39/2 by 2

78/4 - 53/4 = 25/4 = 6.25

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

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19 ½ – 13 ¼

1/2 = .5 and 1/4 = .25

By knowing this you can change the mixed numbers into

19.5 - 13.25 = 6.25

6.25 can be changed into 6 1/4 because .25 = 1/4

Instead of changing it into a decimal in the beginning you could change it into an improper fraction.

Wiggin42 | Student, Undergraduate | (Level 2) Valedictorian

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19 ½ – 13 ¼

The fastest way to approach this problem is to realize that 19 is greater than 13, and 1/2 is greater than 1/4. Therefore, you do not need to manipulate the numbers at all.

19 - 13 = 6

`(1)/(2) - (1)/(4) = (1)/(4)`

Therefore, the answer is `6 (1)/(4)`

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atyourservice | Student, Grade 11 | (Level 3) Valedictorian

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just tun the fractions into decimals

19 ½ – 13 ¼=

1/2 = .5+19 = 19.5

1/4 = .25 + 13 = -13.25

19.5 - 13.25 = 6.25 or 6 1/4

revolution | College Teacher | (Level 1) Valedictorian

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19 1/2 - 13 1/4=?

First, change all fraction to improper fraction:

19 1/2= (19*2+1)/2 = 39/2

13 1/4= (13*4+1)/4= 53/4

39/2-53/4=?

Next, make sure the denominators are the same, which in the case is different. 2 different from 4, so we must get the LCM of the denominator of 2 and 4, which is 4 so:

39*2/2*2-53/4=?

78/4-53/4=?

(78-53)/4=25/4= 6 1/4 or 6.25