Question

1/2-5/12=? 3/4-1/6=? 9/35-2/28=?

Answer 1

1/2 - 5/12 = 6/12 - 5/12 = 1/12
3/4 - 1/6 = 9/12 - 2/12 = 7/12
9/35 - 2/28 = 36/140 - 10/140 = 26/140 = 13/70

Answer 2

Let's solve each of these subtraction problems step by step:

1. $\frac{1}{2} - \frac{5}{12}$:

To subtract fractions, you need a common denominator. In this case, the common denominator is 12. So, you need to convert both fractions to have a denominator of 12:

• $\frac{1}{2}$ is equivalent to $\frac{6}{12}$ because you multiply both the numerator and denominator by 6.
• $\frac{5}{12}$ remains the same.

Now, subtract:

$\frac{6}{12} - \frac{5}{12} = \frac{6 - 5}{12} = \frac{1}{12}$

So, $\frac{1}{2} - \frac{5}{12} = \frac{1}{12}$.

2. $\frac{3}{4} - \frac{1}{6}$:

Again, you need a common denominator. In this case, the common denominator is 12. So, you need to convert both fractions to have a denominator of 12:

• $\frac{3}{4}$ is equivalent to $\frac{9}{12}$ because you multiply both the numerator and denominator by 3.
• $\frac{1}{6}$ is equivalent to $\frac{2}{12}$ because you multiply both the numerator and denominator by 2.

Now, subtract:

$\frac{9}{12} - \frac{2}{12} = \frac{9 - 2}{12} = \frac{7}{12}$

So, $\frac{3}{4} - \frac{1}{6} = \frac{7}{12}$.

3. $\frac{9}{35} - \frac{2}{28}$:

In this case, we need to find a common denominator. The least common multiple of 35 and 28 is 140, so we'll convert both fractions to have a denominator of 140:

• $\frac{9}{35}$ is equivalent to $\frac{36}{140}$ because you multiply both the numerator and denominator by 4.
• $\frac{2}{28}$ is equivalent to $\frac{10}{140}$ because you multiply both the numerator and denominator by 5.

Now, subtract:

$\frac{36}{140} - \frac{10}{140} = \frac{36 - 10}{140} = \frac{26}{140}$

To simplify this fraction, you can find the greatest common divisor (GCD) of 26 and 140, which is 2. Divide both the numerator and denominator by 2:

$\frac{26/2}{140/2} = \frac{13}{70}$

So, $\frac{9}{35} - \frac{2/28} = \frac{13}{70}$.