What is the answer to 5/20 x 3/15 using multiplying fractions by reciprocal

To solve the problem \( \frac{5}{20} \times \frac{3}{15} \) using the method of multiplying fractions by the reciprocal, we can follow these steps:

### 1. **Find the Reciprocal of the Second Fraction:**
The reciprocal of \( \frac{3}{15} \) is \( \frac{15}{3} \). To get the reciprocal of a fraction, simply swap the numerator and the denominator.

### 2. **Multiply the First Fraction by the Reciprocal:**
Now, multiply \( \frac{5}{20} \) by \( \frac{15}{3} \):

\[
\frac{5}{20} \times \frac{15}{3} = \frac{5 \times 15}{20 \times 3} = \frac{75}{60}
\]

### 3. **Simplify the Fraction:**
To simplify \( \frac{75}{60} \), divide both the numerator and the denominator by their greatest common divisor (GCD), which is 15:

\[
\frac{75 \div 15}{60 \div 15} = \frac{5}{4}
\]

### Final Answer:
The answer is \( \frac{5}{4} \), or 1.25 in decimal form.

Would you like a more detailed explanation of any step, or do you have further questions?

### Related Questions:
1. How do you find the reciprocal of a fraction?
2. What are the steps for multiplying two fractions directly?
3. How can you simplify a fraction effectively?
4. What is the importance of finding the greatest common divisor (GCD) when simplifying fractions?
5. How does the concept of reciprocals apply in division of fractions?

**Tip:** Always simplify fractions before multiplying them if possible, as this can make the calculations easier.

What is the answer to 5/20 x 3/15 using multiplying fractions by reciprocal?

Learn how to solve the multiplication of fractions 5/20 x 3/15 using the reciprocal method. This step-by-step guide covers concepts like finding the reciprocal, multiplying fractions, and simplifying the result using the greatest common divisor. Ideal for Grades 5-7 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation