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Compute 42 Divided by 3
The expression 42 divided by 3 means the quotient \(42 \div 3\). In math algebra, division can be interpreted as splitting a total into equal groups. Here, 42 is split into 3 equal parts.
Meaning: \(42 \div 3\) asks, “If 42 is shared equally among 3 groups, how many are in each group?”
Step 1: Write division as a fraction
\[ 42 \div 3 = \frac{42}{3} \]
Step 2: Perform the division
Since \(3 \cdot 14 = 42\), the quotient is 14:
\[ \frac{42}{3} = 14 \]
Result: \(\boxed{14}\).
Step 3: Verify by multiplication
A quick check uses the inverse operation (multiplication):
\[ 3 \cdot 14 = 42 \]
Summary table
| Form | Expression | Value |
|---|---|---|
| Division | \(42 \div 3\) | \(14\) |
| Fraction | \(\dfrac{42}{3}\) | \(14\) |
| Check | \(3 \cdot 14\) | \(42\) |
Visualization: 42 split into 3 equal groups (no overlap)
Final answer
\[ 42 \div 3 = 14 \]
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