a) $$ \frac{30}{50} $$

Certainly! Let's simplify the fraction provided in part (a): ### a) Simplifying $$ \frac{30}{50} $$ 1. **Find the Greatest Common Divisor (GCD):** - **Factors of 30:** 1, 2, 3, 5, 6, 10, 15, 30 - **Factors of 50:** 1, 2, 5, 10, 25, 50 - **Common Factors:** 1, 2, 5, 10 - **GCD:** 10 2. **Divide Both Numerator and Denominator by the GCD:** \[ \frac{30 \div 10}{50 \div 10} = \frac{3}{5} \] 3. **Simplified Fraction:** \[ \frac{3}{5} \] ### Additional Representations (Optional) - **Decimal Form:** \[ \frac{3}{5} = 0.6 \] - **Percentage Form:** \[ 0.6 \times 100\% = 60\% \] So, the simplified form of $$ \frac{30}{50} $$ is $$ \frac{3}{5} $$, which is equivalent to 0.6 or 60%. The simplified form of $$ \frac{30}{50} $$ is $$ \frac{3}{5} $$.

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Ask by Mcguire Frank. in Somalia

Jan 24,2025

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The simplified form of

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The Deep Dive

Did you know that fractions can be simplified to help us understand the relationships they represent better? For instance,

can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 10. This results in

. So, if you ever have a pizza and you eat 30 out of 50 slices, that’s like having 3 out of 5 slices!

Next time you’re in a conversation about fractions, remember how they apply in real life! Whether you’re baking, dividing tasks, or determining the best deal while shopping, simplifying fractions makes it easier to see how things relate. Just think of shopping discounts: if you encounter a 30% off sale, it’ll help you figure out how much you’re actually saving compared to the original price!

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