Solve the Fraction Subtraction: 5/6 minus 7/12

Question

Solve the following exercise:

56712=? \frac{5}{6}-\frac{7}{12}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Multiply by 2 to find the common denominator
00:07 Make sure to multiply both numerator and denominator
00:16 Calculate the multiplications
00:23 Subtract with the common denominator
00:27 Calculate the numerator
00:31 Reduce the fraction as much as possible
00:35 Make sure to divide both numerator and denominator
00:41 And this is the solution to the problem

Step-by-Step Solution

To solve the subtraction 56712\frac{5}{6} - \frac{7}{12}, we need a common denominator.

Step 1: Find the least common denominator (LCD) of the two fractions.
The denominators are 6 and 12. The least common multiple of 6 and 12 is 12.

Step 2: Convert 56\frac{5}{6} to an equivalent fraction with a denominator of 12.
We can multiply the numerator and the denominator by 2 to achieve this:
56=5×26×2=1012\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}.

Step 3: Now, subtract the fractions with a common denominator:
1012712=10712=312\frac{10}{12} - \frac{7}{12} = \frac{10 - 7}{12} = \frac{3}{12}.

Step 4: Simplify the result.
312\frac{3}{12} can be simplified by dividing both the numerator and the denominator by 3:
312=3÷312÷3=14\frac{3}{12} = \frac{3 \div 3}{12 \div 3} = \frac{1}{4}.

Therefore, the solution to the problem 56712\frac{5}{6} - \frac{7}{12} is 14\boxed{\frac{1}{4}}.

From the available choices, option 4, which is 14\frac{1}{4}, is the correct answer.

Answer

14 \frac{1}{4}