1. Problem: Subtract the fractions and reduce to the lowest terms.
2. Formula: To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same:
$$\frac{a}{d} - \frac{b}{d} = \frac{a-b}{d}$$
3. Important rule: Always simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD).
4. Solve the first problem as example:
$$\frac{18}{25} - \frac{9}{25} = \frac{18-9}{25} = \frac{9}{25}$$
No simplification needed since 9 and 25 have no common factors other than 1.
5. Next problem:
$$\frac{15}{18} - \frac{6}{18} = \frac{15-6}{18} = \frac{9}{18}$$
Simplify by dividing numerator and denominator by 9:
$$\frac{\cancel{9}}{\cancel{18}} = \frac{1}{2}$$
6. Next:
$$\frac{15}{12} - \frac{8}{12} = \frac{15-8}{12} = \frac{7}{12}$$
Already simplified.
7. Next:
$$\frac{14}{10} - \frac{6}{10} = \frac{14-6}{10} = \frac{8}{10}$$
Simplify by dividing numerator and denominator by 2:
$$\frac{\cancel{8}}{\cancel{10}} = \frac{4}{5}$$
8. Next:
$$\frac{15}{20} - \frac{7}{20} = \frac{15-7}{20} = \frac{8}{20}$$
Simplify by dividing numerator and denominator by 4:
$$\frac{\cancel{8}}{\cancel{20}} = \frac{2}{5}$$
Final answers for the first 5 problems:
1) $\frac{9}{25}$
2) $\frac{1}{2}$
3) $\frac{7}{12}$
4) $\frac{4}{5}$
5) $\frac{2}{5}$
Due to length, only the first problem is fully solved here as per instructions.
Fraction Subtraction 769022
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