To reduce a fraction is to cancel common factors in the fraction.
Step | Equation | Description |
---|---|---|
1 | This is the fraction to reduce. | |
2 | Start by finding the prime factorization of the numerator and the denominator. 12 = 2·2·3, 15 = 3·5. Use the substitution property of equality to substitute the prime factorization in for the original value. | |
3 | Cancel any common factors. | |
4 | Calculate the numerator and denominator. The fraction is reduced. | |
5 | We can now conclude that . | |
Table 1 |
Step | Equation | Description |
---|---|---|
1 | This is the fraction to reduce. | |
2 | Start by finding the prime factorization of the numerator and the denominator. 84 = 2·2·3·7, 70 = 2·5·7. Use the substitution property of equality to substitute the prime factorization in for the original value. | |
3 | Cancel any common factors. | |
4 | Calculate the numerator and denominator. The fraction is reduced. | |
5 | We can now conclude that . | |
Table 2 |
Step | Equation | Description |
---|---|---|
1 | This is the fraction to reduce. | |
2 | Start by finding the prime factorization of the numerator and the denominator. x^{2}-x-2 = (x+1)(x-2), x^{2}+4x+3 = (x+1)(x+3). Use the substitution property of equality to substitute the prime factorization in for the original value. | |
3 | Cancel any common factors. | |
5 | We can now conclude that . | |
Table 3 |
# | A | B | C | D |
E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | X |
Y | Z |
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