Consider the following fractions. $$ \frac{20}{21}, \frac{17}{30} $$ Step 1 of 2 : Which fraction is larger?

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To determine which fraction is larger between $$\frac{20}{21}$$ and $$\frac{17}{30}$$, we can compare them by finding a common basis for comparison. One effective method is **cross-multiplication**.

**Cross-Multiplication Method:**

1. **Multiply the numerator of the first fraction by the denominator of the second fraction:**
   $$
   20 \times 30 = 600
   $$

2. **Multiply the numerator of the second fraction by the denominator of the first fraction:**
   $$
   17 \times 21 = 357
   $$

3. **Compare the two results:**
   $$
   600 \quad \text{vs.} \quad 357
   $$

Since $$600 > 357$$, it means that:
$$
\frac{20}{21} > \frac{17}{30}
$$

**Conclusion:** $$\frac{20}{21}$$ is the larger fraction.
$$\frac{20}{21}$$ is larger than $$\frac{17}{30}$$.

Consider the following fractions. \[ \frac{20}{21}, \frac{17}{30} \] Step 1 of 2 : Which fraction is larger?

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