Question

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

cup of pecans. What is
the total amount of walnuts and pecans needed for the recipe?

Answer 1

`\sf Total \ amount \ of \ walnuts \ and \ pecans \ needed = (7)/(12)`

Explanation:

Fraction addition:

`\sf Amount \ of \ walnut \ needed = (1)/(4)`

`\sf Amount \ of \ pecans \ needed =(2)/(6) =(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 (1)/(4)=(1*3)/(4*3)=(3)/(12)\\\\(1)/(3)=(1*4)/(3*4)=(4)/(12)`

Now, add

`\sf (3)/(12)+(4)/(12)=(3+4)/(12)`

`\sf = (7)/(12)`