The problem asks to simplify the fraction $\frac{49}{40}$.

ArithmeticFractionsSimplificationGreatest Common DivisorMixed Numbers
2025/3/24

1. Problem Description

The problem asks to simplify the fraction 4940\frac{49}{40}.

2. Solution Steps

The fraction is 4940\frac{49}{40}. We need to simplify this fraction.
The factors of 49 are 1, 7, and
4

9. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and

4

0. The greatest common divisor (GCD) of 49 and 40 is

1. Since the greatest common divisor is 1, the fraction is already in its simplest form.

The fraction can be written as a mixed number.
To do this, we divide 49 by
4

0. $49 = 40 \times 1 + 9$.

So, 4940=1940\frac{49}{40} = 1\frac{9}{40}.
Since the problem does not specify whether to represent the answer as an improper fraction or mixed number, we will leave it as an improper fraction.

3. Final Answer

4940\frac{49}{40}

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