Solve Fraction Addition: 3/14 + 3/7 Step-by-Step

Question

314+37= \frac{3}{14}+\frac{3}{7}=

Video Solution

Solution Steps

00:00 Solve
00:03 We want to find the least common denominator
00:06 Multiply by 2 to find the common denominator
00:09 Remember to multiply both numerator and denominator
00:18 Calculate the multiplications
00:25 Add under the common denominator
00:29 Calculate the numerator
00:32 And this is the solution to the question

Step-by-Step Solution

To solve the problem of adding 314+37 \frac{3}{14} + \frac{3}{7} , we need the following steps:

  • Step 1: Identify the least common denominator of 14 14 and 7 7 . Since 7 7 is a factor of 14 14 , the least common denominator is 14 14 .
  • Step 2: Rewrite the fractions with the common denominator.
    The fraction 37 \frac{3}{7} can be converted to an equivalent fraction with the denominator 14 14 :
    • Multiply the numerator and the denominator of 37 \frac{3}{7} by 2 2 (since 7×2=14 7 \times 2 = 14 ) to get 614 \frac{6}{14} .
  • Step 3: Add 314 \frac{3}{14} and 614 \frac{6}{14} now that they have the same denominator:
    314+614=3+614=914\frac{3}{14} + \frac{6}{14} = \frac{3+6}{14} = \frac{9}{14}.
  • Step 4: Simplify if necessary. The numerator and denominator here are coprime, so 914 \frac{9}{14} is already in its simplest form.

Thus, the sum of the fractions is 914 \frac{9}{14} .

Answer

914 \frac{9}{14}