Solve: Subtracting Positive Fractions 1/8 - 4/6 Step by Step

Question

(+18)(+46)= (+\frac{1}{8})-(+\frac{4}{6})=

Video Solution

Solution Steps

00:00 Solve
00:03 Negative times positive is always negative
00:07 Multiply by 3 to find the common denominator
00:11 Multiply by 4 to find the common denominator
00:15 Make sure to multiply both numerator and denominator
00:20 Combine the fractions into one fraction
00:24 And this is the solution to the question

Step-by-Step Solution

To solve the problem (+18)(+46) (+\frac{1}{8})-(+\frac{4}{6}), let's follow these steps:

  • Step 1: Simplify the fraction 46\frac{4}{6} to its simplest form. Since both the numerator and the denominator are divisible by 2, we have 46=23\frac{4}{6} = \frac{2}{3}.
  • Step 2: Find the least common denominator (LCD) for the fractions 18\frac{1}{8} and 23\frac{2}{3}. The denominators are 8 and 3, so the LCD is 24.
  • Step 3: Convert both fractions to have the denominator of 24.
    • For 18\frac{1}{8}, multiply both the numerator and the denominator by 3 to get: 1×38×3=324 \frac{1 \times 3}{8 \times 3} = \frac{3}{24}.
    • For 23\frac{2}{3}, multiply both the numerator and the denominator by 8 to get: 2×83×8=1624 \frac{2 \times 8}{3 \times 8} = \frac{16}{24}.
  • Step 4: Subtract the numerators over the common denominator: 3241624=31624=1324\frac{3}{24} - \frac{16}{24} = \frac{3 - 16}{24} = \frac{-13}{24}.
  • Step 5: The fraction 1324\frac{-13}{24} is already in its simplest form since 13 is a prime number and does not divide 24.

Therefore, the solution to the problem is 1324-\frac{13}{24}.

From the given multiple-choice options, the correct choice is option 2:

1324 -\frac{13}{24}

.

Answer

1324 -\frac{13}{24}