Solve the Fraction Subtraction: 7/10 - 2/6 Step-by-Step

Question

Solve the following exercise:

71026=? \frac{7}{10}-\frac{2}{6}=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 We want to find the least common denominator
00:06 We'll multiply by 3 and 5 respectively to find the common denominator
00:09 We'll make sure to multiply both numerator and denominator
00:20 Let's calculate the products
00:28 Let's subtract with the common denominator
00:33 Let's calculate the numerator
00:37 And this is the solution to the question

Step-by-Step Solution

To solve the problem 71026 \frac{7}{10} - \frac{2}{6} , we need to follow these steps:

  • Find the Least Common Denominator (LCD) for the denominators 10 and 6. The LCD of 10 and 6 is 30.
  • Convert each fraction to have the common denominator of 30:
    • 710=7×310×3=2130\frac{7}{10} = \frac{7 \times 3}{10 \times 3} = \frac{21}{30}
    • 26=2×56×5=1030\frac{2}{6} = \frac{2 \times 5}{6 \times 5} = \frac{10}{30}
  • Subtract the two fractions:
    • 21301030=211030=1130\frac{21}{30} - \frac{10}{30} = \frac{21 - 10}{30} = \frac{11}{30}

Therefore, the solution to the problem is 1130 \frac{11}{30} .

Answer

1130 \frac{11}{30}