Fraction word problems worksheet with real-life scenarios involving subtraction of fractions.

Let's solve each of the fraction word problems step by step.

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Problem 1:

Emily has a ribbon that is \(\frac{2}{3}\) feet long. She cuts off \(\frac{1}{4}\) feet for her craft. How much ribbon is left?

#### Step 1: Understand the problem
Emily starts with \(\frac{2}{3}\) feet of ribbon and cuts off \(\frac{1}{4}\) feet. We need to find out how much ribbon is left after the cut.

#### Step 2: Set up the equation
The amount of ribbon left is given by:
\[
\text{Ribbon left} = \text{Initial length} - \text{Length cut off}
\]
\[
\text{Ribbon left} = \frac{2}{3} - \frac{1}{4}
\]

#### Step 3: Find a common denominator
To subtract these fractions, we need a common denominator. The denominators are 3 and 4. The least common multiple (LCM) of 3 and 4 is 12.

Convert each fraction to have a denominator of 12:
\[
\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}
\]
\[
\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
\]

#### Step 4: Subtract the fractions
Now that both fractions have the same denominator, we can subtract them:
\[
\frac{8}{12} - \frac{3}{12} = \frac{8 - 3}{12} = \frac{5}{12}
\]

#### Step 5: Write the final answer
The amount of ribbon left is:
\[
\boxed{\frac{5}{12}}
\]

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Problem 2:

Lily needs \(\frac{5}{6}\) cup of sugar in a recipe, but she only has \(\frac{1}{4}\) cup. How much more sugar does she need?

#### Step 1: Understand the problem
Lily needs \(\frac{5}{6}\) cup of sugar but only has \(\frac{1}{4}\) cup. We need to find out how much more sugar she needs.

#### Step 2: Set up the equation
The additional sugar needed is given by:
\[
\text{Additional sugar needed} = \text{Total sugar required} - \text{Sugar Lily has}
\]
\[
\text{Additional sugar needed} = \frac{5}{6} - \frac{1}{4}
\]

#### Step 3: Find a common denominator
The denominators are 6 and 4. The least common multiple (LCM) of 6 and 4 is 12.

Convert each fraction to have a denominator of 12:
\[
\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}
\]
\[
\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
\]

#### Step 4: Subtract the fractions
Now that both fractions have the same denominator, we can subtract them:
\[
\frac{10}{12} - \frac{3}{12} = \frac{10 - 3}{12} = \frac{7}{12}
\]

#### Step 5: Write the final answer
The additional sugar Lily needs is:
\[
\boxed{\frac{7}{12}}
\]

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Problem 3:

Daniel has a wooden plank that is \(\frac{6}{7}\) feet long. After cutting off \(\frac{3}{4}\) feet for a project, how much of the plank remains?

#### Step 1: Understand the problem
Daniel starts with a plank that is \(\frac{6}{7}\) feet long and cuts off \(\frac{3}{4}\) feet. We need to find out how much of the plank remains.

#### Step 2: Set up the equation
The length of the plank remaining is given by:
\[
\text{Plank remaining} = \text{Initial length} - \text{Length cut off}
\]
\[
\text{Plank remaining} = \frac{6}{7} - \frac{3}{4}
\]

#### Step 3: Find a common denominator
The denominators are 7 and 4. The least common multiple (LCM) of 7 and 4 is 28.

Convert each fraction to have a denominator of 28:
\[
\frac{6}{7} = \frac{6 \times 4}{7 \times 4} = \frac{24}{28}
\]
\[
\frac{3}{4} = \frac{3 \times 7}{4 \times 7} = \frac{21}{28}
\]

#### Step 4: Subtract the fractions
Now that both fractions have the same denominator, we can subtract them:
\[
\frac{24}{28} - \frac{21}{28} = \frac{24 - 21}{28} = \frac{3}{28}
\]

#### Step 5: Write the final answer
The length of the plank remaining is:
\[
\boxed{\frac{3}{28}}
\]

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Final Answers:

1. Emily has \(\boxed{\frac{5}{12}}\) feet of ribbon left.
2. Lily needs \(\boxed{\frac{7}{12}}\) cup more sugar.
3. Daniel has \(\boxed{\frac{3}{28}}\) feet of the plank remaining.