find fraction of 4 1/6-5 3/4+6. 5/12
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every+one inter+ested??
Answers
Answer:
4 1/6 - 5 3/4 + 6. 5/12 = -25/
24
= -1 1/
24
≅ -1.0416667
Explanation:
Conversion a mixed number 4 1/
6
to a improper fraction: 4 1/6 = 4 1/
6
= 4 · 6 + 1/
6
= 24 + 1/
6
= 25/
6
To find a new numerator:
a) Multiply the whole number 4 by the denominator 6. Whole number 4 equally 4 * 6/
6
= 24/
6
b) Add the answer from previous step 24 to the numerator 1. New numerator is 24 + 1 = 25
c) Write a previous answer (new numerator 25) over the denominator 6.
Four and one sixth is twenty-five sixths
Conversion a mixed number 5 3/
4
to a improper fraction: 5 3/4 = 5 3/
4
= 5 · 4 + 3/
4
= 20 + 3/
4
= 23/
4
To find a new numerator:
a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/
4
= 20/
4
b) Add the answer from previous step 20 to the numerator 3. New numerator is 20 + 3 = 23
c) Write a previous answer (new numerator 23) over the denominator 4.
Five and three quarters is twenty-three quarters
Subtract: 25/
6
- 23/
4
= 25 · 2/
6 · 2
- 23 · 3/
4 · 3
= 50/
12
- 69/
12
= 50 - 69/
12
= -19/
12
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 4 = 24. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - twenty-five sixths minus twenty-three quarters = minus nineteen twelfths.
Conversion a decimal number to a fraction: 6.5 = 65/
10
= 13/
2
a) Write down the decimal 6.5 divided by 1: 6.5 = 6.5/
1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
6.5/
1
= 65/
10
Note: 65/
10
is called a decimal fraction.
c) Simplify and reduce the fraction
65/
10
= 13 * 5/
2 * 5
= 13 * 5/
2 * 5
= 13/
2
Divide: 6.5 / 12 = 13/
2
· 1/
12
= 13 · 1/
2 · 12
= 13/
24
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 12/
1
is 1/
12
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirteen halfs divided by twelve = thirteen twenty-fourths.
Add: the result of step No. 3 + the result of step No. 5 = -19/
12
+ 13/
24
= -19 · 2/
12 · 2
+ 13/
24
= -38/
24
+ 13/
24
= -38 + 13/
24
= -25/
24
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(12, 24) = 24. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 12 × 24 = 288. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - minus nineteen twelfths plus thirteen twenty-fourths = minus twenty-five twenty-fourths.