Mrs.D Math · 7th Grade

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ARENA

All Operations • Rational Numbers
⅓ + ½ = ?
¾ − ⅔ = ?
−½ × ⅔ = ?
⅔ ÷ ½ = ?
➕ Add
➖ Subtract
✖ Multiply
÷ Divide
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⚔ Operations on Rational Numbers

Sign Rules — Multiplication & Division

SignsResultExample
+ ×/÷ +Positive½ × ¾ = ⅜
+ ×/÷ −Negative½ × −¾ = −⅜
− ×/÷ −Positive−½ × −¾ = ⅜

All Four Operations

OperationKey StepsExample
+ Add Find the LCD, convert fractions, add numerators ½ + ⅓ = 3/6 + 2/6 = 5/6
− Subtract Find the LCD, convert fractions, subtract numerators ¾ − ½ = 3/4 − 2/4 = 1/4
× Multiply Multiply numerators × numerators, denominators × denominators, then simplify ⅔ × ¾ = 6/8 = ¾
÷ Divide Keep, Change, Flip — then multiply ⅓ ÷ ½ = ⅓ × 2 = ⅔

Adding & Subtracting — LCD Steps

1
Find the Least Common Denominator (LCD) of both fractions.
1/3 + 1/4 → LCD of 3 and 4 = 12
2
Rewrite each fraction with the LCD as the denominator.
1/3 = 4/12    1/4 = 3/12
3
Add or subtract the numerators. Keep the LCD as the denominator.
4/12 + 3/12 = 7/12
4
Simplify the result if possible.
6/12 = 1/2     −4/8 = −1/2
✎ Answer Format: Enter whole numbers (e.g., −3), fractions as a/b (e.g., −5/6), or decimals (e.g., 0.75). Always simplify first!
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QUESTION 1 / 10
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Enter a whole number, fraction (e.g. −3/4), or decimal
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