We appreciate your visit to Student Name Common Denominator Practice Directions Create equivalent fractions with common denominators for each pair of fractions Find the common denominator by multiplying the denominators. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's work through creating equivalent fractions with common denominators step by step.
### Problem 6:
Fractions: [tex]\( \frac{3}{7} \)[/tex] and [tex]\( \frac{2}{3} \)[/tex]
1. Find the Common Denominator: Multiply the denominators of both fractions:
- [tex]\( 7 \times 3 = 21 \)[/tex]
2. Adjust each fraction to have this common denominator:
- For [tex]\( \frac{3}{7} \)[/tex]: Multiply both the numerator and denominator by 3:
- [tex]\( \frac{3 \times 3}{7 \times 3} = \frac{9}{21} \)[/tex]
- For [tex]\( \frac{2}{3} \)[/tex]: Multiply both the numerator and denominator by 7:
- [tex]\( \frac{2 \times 7}{3 \times 7} = \frac{14}{21} \)[/tex]
So, the equivalent fractions are [tex]\( \frac{9}{21} \)[/tex] and [tex]\( \frac{14}{21} \)[/tex].
### Problem 7:
Fractions: [tex]\( \frac{3}{4} \)[/tex] and [tex]\( \frac{2}{5} \)[/tex]
1. Find the Common Denominator: Multiply the denominators of both fractions:
- [tex]\( 4 \times 5 = 20 \)[/tex]
2. Adjust each fraction to have this common denominator:
- For [tex]\( \frac{3}{4} \)[/tex]: Multiply both the numerator and denominator by 5:
- [tex]\( \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \)[/tex]
- For [tex]\( \frac{2}{5} \)[/tex]: Multiply both the numerator and denominator by 4:
- [tex]\( \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \)[/tex]
So, the equivalent fractions are [tex]\( \frac{15}{20} \)[/tex] and [tex]\( \frac{8}{20} \)[/tex].
### Problem 8:
Fractions: [tex]\( \frac{1}{2} \)[/tex] and [tex]\( \frac{3}{12} \)[/tex]
1. Find the Common Denominator: Multiply the denominators of both fractions:
- [tex]\( 2 \times 12 = 24 \)[/tex]
2. Adjust each fraction to have this common denominator:
- For [tex]\( \frac{1}{2} \)[/tex]: Multiply both the numerator and denominator by 12:
- [tex]\( \frac{1 \times 12}{2 \times 12} = \frac{12}{24} \)[/tex]
- For [tex]\( \frac{3}{12} \)[/tex]: Multiply both the numerator and denominator by 2:
- [tex]\( \frac{3 \times 2}{12 \times 2} = \frac{6}{24} \)[/tex]
So, the equivalent fractions are [tex]\( \frac{12}{24} \)[/tex] and [tex]\( \frac{6}{24} \)[/tex].
These steps show how each pair of fractions is converted into equivalent fractions with a common denominator.
### Problem 6:
Fractions: [tex]\( \frac{3}{7} \)[/tex] and [tex]\( \frac{2}{3} \)[/tex]
1. Find the Common Denominator: Multiply the denominators of both fractions:
- [tex]\( 7 \times 3 = 21 \)[/tex]
2. Adjust each fraction to have this common denominator:
- For [tex]\( \frac{3}{7} \)[/tex]: Multiply both the numerator and denominator by 3:
- [tex]\( \frac{3 \times 3}{7 \times 3} = \frac{9}{21} \)[/tex]
- For [tex]\( \frac{2}{3} \)[/tex]: Multiply both the numerator and denominator by 7:
- [tex]\( \frac{2 \times 7}{3 \times 7} = \frac{14}{21} \)[/tex]
So, the equivalent fractions are [tex]\( \frac{9}{21} \)[/tex] and [tex]\( \frac{14}{21} \)[/tex].
### Problem 7:
Fractions: [tex]\( \frac{3}{4} \)[/tex] and [tex]\( \frac{2}{5} \)[/tex]
1. Find the Common Denominator: Multiply the denominators of both fractions:
- [tex]\( 4 \times 5 = 20 \)[/tex]
2. Adjust each fraction to have this common denominator:
- For [tex]\( \frac{3}{4} \)[/tex]: Multiply both the numerator and denominator by 5:
- [tex]\( \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \)[/tex]
- For [tex]\( \frac{2}{5} \)[/tex]: Multiply both the numerator and denominator by 4:
- [tex]\( \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \)[/tex]
So, the equivalent fractions are [tex]\( \frac{15}{20} \)[/tex] and [tex]\( \frac{8}{20} \)[/tex].
### Problem 8:
Fractions: [tex]\( \frac{1}{2} \)[/tex] and [tex]\( \frac{3}{12} \)[/tex]
1. Find the Common Denominator: Multiply the denominators of both fractions:
- [tex]\( 2 \times 12 = 24 \)[/tex]
2. Adjust each fraction to have this common denominator:
- For [tex]\( \frac{1}{2} \)[/tex]: Multiply both the numerator and denominator by 12:
- [tex]\( \frac{1 \times 12}{2 \times 12} = \frac{12}{24} \)[/tex]
- For [tex]\( \frac{3}{12} \)[/tex]: Multiply both the numerator and denominator by 2:
- [tex]\( \frac{3 \times 2}{12 \times 2} = \frac{6}{24} \)[/tex]
So, the equivalent fractions are [tex]\( \frac{12}{24} \)[/tex] and [tex]\( \frac{6}{24} \)[/tex].
These steps show how each pair of fractions is converted into equivalent fractions with a common denominator.
Thanks for taking the time to read Student Name Common Denominator Practice Directions Create equivalent fractions with common denominators for each pair of fractions Find the common denominator by multiplying the denominators. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada