7 over 12 minus 5 over 12 as a fraction in simplest form
The Correct Answer and Explanation is:
To solve 712−512\frac{7}{12} – \frac{5}{12}127−125, you are subtracting two fractions that already have the same denominator.
Step-by-step process:
- Identify the denominators: The fractions are 712\frac{7}{12}127 and 512\frac{5}{12}125, both of which have the same denominator of 12.
- Subtract the numerators: Since the denominators are the same, you simply subtract the numerators (the numbers on top of the fractions). 7−5=27 – 5 = 27−5=2
- Write the result: The new fraction is 212\frac{2}{12}122.
- Simplify the fraction: To simplify 212\frac{2}{12}122, you need to find the greatest common divisor (GCD) of 2 and 12, which is 2. Divide both the numerator and the denominator by 2: 212=2÷212÷2=16\frac{2}{12} = \frac{2 \div 2}{12 \div 2} = \frac{1}{6}122=12÷22÷2=61
Final answer:
So, 712−512=16\frac{7}{12} – \frac{5}{12} = \frac{1}{6}127−125=61.
Explanation:
The key idea when subtracting fractions with the same denominator is to focus on the numerators. Once the numerators are subtracted, you simply carry over the common denominator. If necessary, you simplify the result by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, 2 is the GCD of 2 and 12, so the simplified form is 16\frac{1}{6}61.
