Shari is adding these fractions:
\[1 / 3+1 / 4\]

What's her next step?
\[4 / 12+3 / 12=7 / 12\]
\[1 / 3+1 / 4=2 / 12\]
\[1 / 3+1 / 4=2 / 7\]

Find a common denominator for the fractions, which is 12.
Convert 1/3 to 4/12 and 1/4 to 3/12 .
Add the equivalent fractions: 4/12 + 3/12 = 7/12 .
The next step is 4/12 + 3/12 = 7/12 ​ .

Explanation

Find the Common Denominator To add fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12.

Convert 1/3 Convert 1/3 to an equivalent fraction with a denominator of 12. To do this, we multiply both the numerator and the denominator by 4: 1/3 = ( 1 × 4 ) / ( 3 × 4 ) = 4/12

Convert 1/4 Convert 1/4 to an equivalent fraction with a denominator of 12. To do this, we multiply both the numerator and the denominator by 3: 1/4 = ( 1 × 3 ) / ( 4 × 3 ) = 3/12

Add the Fractions Now we can add the equivalent fractions: 4/12 + 3/12 = ( 4 + 3 ) /12 = 7/12

Conclusion Therefore, the next step is 4/12 + 3/12 = 7/12 .


Examples
Fractions are used in everyday life, such as when baking a cake. If a recipe calls for 1/3 cup of flour and 1/4 cup of sugar, you need to add these fractions to know the total amount of ingredients. Understanding how to add fractions is essential for accurate measurements and successful baking.

Answered by GinnyAnswer | 2025-07-07