Add and Subtract Fractions and Mixed Numbers with LIKE ... - Free Printable

Let’s solve each of the 8 mixed number problems, match them to the letters in the grid, cross off those letters, and then read the remaining letters in order to find the riddle answer: “What is a UPS worker’s favorite sport?”

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🔢 Problem 1:

4 5/12 + 1 3/12

Add whole numbers: 4 + 1 = 5
Add fractions: 5/12 + 3/12 = 8/12 → simplify to 2/3

✔ Answer: 5 2/3

Look at the grid — this matches letter E (top row, last column: E = 5 2/3)

→ Cross off E

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🔢 Problem 2:

3 2/4 + 2 3/4

First, simplify 2/4 → 1/2, but we can add as is.

Whole numbers: 3 + 2 = 5
Fractions: 2/4 + 3/4 = 5/4 = 1 1/4

So total: 5 + 1 1/4 = 6 1/4

✔ Answer: 6 1/4

Matches letter P (top row, 5th column: P = 6 1/4)

→ Cross off P

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🔢 Problem 3:

2 5/8 + 2 3/8

Whole numbers: 2 + 2 = 4
Fractions: 5/8 + 3/8 = 8/8 = 1

Total: 4 + 1 = 5

✔ Answer: 5

Matches letter A (bottom row, 1st column: A = 5)

→ Cross off A

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🔢 Problem 4:

3 4/5 + 1 3/5

Whole numbers: 3 + 1 = 4
Fractions: 4/5 + 3/5 = 7/5 = 1 2/5

Total: 4 + 1 2/5 = 5 2/5

✔ Answer: 5 2/5

Matches letter R (bottom row, 5th column: R = 5 2/5)

→ Cross off R

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🔢 Problem 5:

9 - 4 2/3

Convert 9 to 8 3/3

Now subtract: 8 3/3 - 4 2/3 = (8-4) + (3/3 - 2/3) = 4 1/3

✔ Answer: 4 1/3

Matches letter E again? Wait — E is already crossed off. But let’s check the grid:

Top row, last column: E = 4 1/3 — yes! But we already crossed off E from problem 1.

Wait — that’s a problem. Two different answers matching same letter?

Hold on — let’s double-check.

Problem 1: 5 2/3 → E (grid says E = 5 2/3) ✔
Problem 5: 4 1/3 → should be G? Let’s look again.

Grid:

Top row: B=4 2/5, F=3 1/6, O=5 1/3, T=3 1/2, P=6 1/4, X=5 1/4, E=4 1/3

Bottom row: A=5, S=4 1/5, I=3 1/4, E=5 2/3, R=5 2/5, N=4 1/2, G=4

Wait — there are two E’s? That’s unusual.

Looking closely:

Top row: E = 4 1/3
Bottom row: E = 5 2/3 ← This must be a typo or mislabeling in the grid.

Actually, looking at the grid layout:

It’s 2 rows of 7 letters:

Row 1: B, F, O, T, P, X, E → values: 4 2/5, 3 1/6, 5 1/3, 3 1/2, 6 1/4, 5 1/4, 4 1/3

Row 2: A, S, I, E, R, N, G → values: 5, 4 1/5, 3 1/4, 5 2/3, 5 2/5, 4 1/2, 4

So two different E’s — one in top row (4 1/3), one in bottom row (5 2/3). That’s confusing, but probably intentional — they’re separate letters with same label? Or maybe it’s a mistake.

But in standard riddle worksheets, each letter is unique. So likely, the bottom E is meant to be another letter, perhaps a typo.

Alternatively, maybe the grid has two E’s and we need to cross off both when their values appear.

But let’s proceed carefully.

Problem 1: 5 2/3 → matches bottom E

Problem 5: 4 1/3 → matches top E

So we’ll cross off both E’s if they appear.

But to avoid confusion, let’s list all 8 answers and their matching letters.

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Let’s continue solving all 8 problems first.

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🔢 Problem 6:

7 7/10 - 3 5/10

Whole numbers: 7 - 3 = 4
Fractions: 7/10 - 5/10 = 2/10 = 1/5

✔ Answer: 4 1/5

Matches letter S (bottom row, 2nd column: S = 4 1/5)

→ Cross off S

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🔢 Problem 7:

6 1/4 - 2 3/4

Convert 6 1/4 to 5 5/4 (borrow 1 = 4/4)

Now: 5 5/4 - 2 3/4 = (5-2) + (5/4 - 3/4) = 3 2/4 → simplify to 3 1/2

✔ Answer: 3 1/2

Matches letter T (top row, 4th column: T = 3 1/2)

→ Cross off T

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🔢 Problem 8:

7 5/6 - 4 4/6

Whole numbers: 7 - 4 = 3
Fractions: 5/6 - 4/6 = 1/6

✔ Answer: 3 1/6

Matches letter F (top row, 2nd column: F = 3 1/6)

→ Cross off F

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## 📋 Now, let’s list all 8 answers and crossed-off letters:

1. 5 2/3 → E (bottom row)
2. 6 1/4 → P
3. 5 → A
4. 5 2/5 → R
5. 4 1/3 → E (top row)
6. 4 1/5 → S
7. 3 1/2 → T
8. 3 1/6 → F

Crossed-off letters: E, P, A, R, E, S, T, F

Note: We crossed off two E’s — one from top row, one from bottom row.

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## 🧩 Now, what letters remain?

Full grid letters (in order, left to right, top to bottom):

Top row: B, F, O, T, P, X, E
Bottom row: A, S, I, E, R, N, G

Crossed off: F, T, P, E (top), A, S, E (bottom), R

Remaining letters:

Top row: B, O, X
Bottom row: I, N, G

In order: B, O, X, I, N, G

→ BOXING

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## ✔ Final Answer: BOXING

That’s the riddle answer: “What is a UPS worker’s favorite sport?” → Boxing

*(Because they “box” packages all day!)* 😄

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## 🎯 ANSWER: BOXING