Reduce the following fractions to simplest form :
`420/140`

Answer

To reduce the fraction \( \frac{420}{140} \) to its simplest form, we can follow these steps:

### Step 1: Write down the fraction
We start with the fraction:
\[ \frac{420}{140} \]

### Step 2: Simplify by canceling zeros
We can simplify the fraction by canceling out the common zeros in the numerator and denominator. This gives us:
\[ \frac{42}{14} \]

### Step 3: Find the greatest common divisor (GCD)
Next, we need to find the greatest common divisor (GCD) of 42 and 14. Both numbers are multiples of 7.

### Step 4: Factor the numbers
We can express 42 and 14 in terms of their factors:
\[ 42 = 7 \times 6 \quad \text{and} \quad 14 = 7 \times 2 \]

### Step 5: Cancel the common factors
Now we can cancel the common factor of 7:
\[ \frac{7 \times 6}{7 \times 2} = \frac{6}{2} \]

### Step 6: Simplify the remaining fraction
Now we simplify \( \frac{6}{2} \):
\[ \frac{6}{2} = 3 \]

### Conclusion
Thus, the simplest form of the fraction \( \frac{420}{140} \) is:
\[ 3 \quad \text{or} \quad \frac{3}{1} \]

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