Question

A recipe for nut bread calls for 1/4 cup of walnuts and 2/6 cup

Answer 1

Answer:

$\sf Total \ amount \ of \ walnuts \ and \ pecans \ needed = \dfrac{7}{12}$

Step-by-step explanation:

Fraction addition:

    $\sf Amount \ of \ walnut \ needed = \dfrac{1}{4}$

    $\sf Amount \ of \ pecans \ needed =\dfrac{2}{6} =\dfrac{1}{3}$

To find the total amount of walnut and pecans, we have to add the fractions.

• Find the LCM of the denominators.
• Find equivalent fractions using the LCM
• Now, add the fractions

LCM of 4 & 3 = 12

Equivalent fractions:

      $\sf \dfrac{1}{4}=\dfrac{1*3}{4*3}=\dfrac{3}{12}\\\\\dfrac{1}{3}=\dfrac{1*4}{3*4}=\dfrac{4}{12}$

Now, add

   $\sf \dfrac{3}{12}+\dfrac{4}{12}=\dfrac{3+4}{12}$

                  $\sf = \dfrac{7}{12}$