Simplify the fraction to lowest terms.

Simplify (or reduce) a fraction to lowest terms by dividing both the *numerator* and the *denominator* by the greatest common denominator (GCD).

If you would like to have a vivid explanation with a detailed example, please read the page Simplifying/Reducing Fractions - Learn this magic trick!

**Step 1: Calculate the greatest common divisor (GCD):**

35 ÷ 49 = 0 Remainder 35

49 ÷ 35 = 1 Remainder 14

35 ÷ 14 = 2 Remainder 7

14 ÷ 7 = 2 Remainder 0

The Greatest Common Divisor (GCD) of 35 and 49 is **7**.

**Step 2: Simplifying by the greatest common divisor (GCD):**

Since the GCD is greater than 1, the fraction can be simplified directly to lowest terms by this number (7):

35 | = | 35 ÷ 7 | = | 5 |

| | |

49 | 49 ÷ 7 | 7 |