Questions: Differentiate each fraction as an equivalent fraction whose denominator is the LCD. The amount of speed the mammal is faster in trees = 21/100 - 10/101 Simplify (Type an integer or fraction)

$Differentiate each fraction as an equivalent fraction whose denominator is the LCD. The amount of speed the mammal is faster in trees = 21/100 - 10/101 Simplify (Type an integer or fraction)$

Transcript text: Difte each fraction as an exuivient fraction whose dencminator is the $L C D$. The amount of speed the mammal is faster in trees $=\frac{21}{100}-\frac{10}{101}$ $\square$ Simplify (Typean integer or fraclom)

Solution

Solution Steps

Step 1: Define the Fractions

We start with the two fractions given in the problem: \[ \frac{21}{100} \quad \text{and} \quad \frac{10}{101} \]

Step 2: Find the Least Common Denominator (LCD)

The least common denominator (LCD) of $100$ and $101$ is $10100$.

Step 3: Convert to Equivalent Fractions

Next, we convert each fraction to have the LCD as the denominator: \[ \frac{21}{100} = \frac{21 \times 101}{100 \times 101} = \frac{2121}{10100} \] \[ \frac{10}{101} = \frac{10 \times 100}{101 \times 100} = \frac{1000}{10100} \]

Step 4: Perform the Subtraction

Now, we subtract the two equivalent fractions: \[ \frac{2121}{10100} - \frac{1000}{10100} = \frac{1121}{10100} \]

Step 5: Simplify the Result

The resulting fraction $\frac{1121}{10100}$ is already in its simplest form.