Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 5 Lesson 5.1 Adding & Subtracting with Like Denominators regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 5 Lesson 5.1 Adding & Subtracting with Like Denominators Answers Key
Denominators are called common when they share the same number.
To add fractions with like denominators, add the numerators and use the common denominator.
\(\frac{1}{5}\) + \(\frac{2}{5}\) = \(\frac{1+2}{5}\) = \(\frac{3}{5}\)
To subtract fractions with like denominators, subtract the numerators and use the common denominator.
\(\frac{7}{10}\) – \(\frac{3}{10}\) = \(\frac{7-3}{10}\) = \(\frac{4}{10}\) = \(\frac{2}{5}\)
Add or subtract. Write answers in simplest form.
Question 1.
a.
Answer: \(\frac{3}{5}\)
Explanation:
To add fractions with like denominators, add the numerators and use the common denominator.
\(\frac{1}{5}\) + \(\frac{2}{5}\) = \(\frac{1+2}{5}\) = \(\frac{3}{5}\)
b.
Answer: \(\frac{2}{7}\)
Explanation:
To subtract fractions with like denominators, subtract the numerators and use the common denominator.
\(\frac{5}{7}\) – \(\frac{3}{7}\) = \(\frac{5-3}{7}\) = \(\frac{2}{7}\)
c.
Answer: \(\frac{2}{4}\)
Explanation:
To subtract fractions with like denominators, subtract the numerators and use the common denominator.
\(\frac{3}{4}\) – \(\frac{1}{4}\) = \(\frac{3-1}{4}\) = \(\frac{2}{4}\) = \(\frac{1}{2}\)
d.
Answer: \(\frac{6}{8}\)
Explanation:
To add fractions with like denominators, add the numerators and use the common denominator.
\(\frac{5}{8}\) + \(\frac{1}{8}\) = \(\frac{5+1}{8}\) = \(\frac{6}{8}\) = \(\frac{3}{4}\)
Question 2.
a.
Answer: \(\frac{4}{8}\)
Explanation:
To subtract fractions with like denominators, subtract the numerators and use the common denominator.
\(\frac{7}{8}\) – \(\frac{3}{8}\) = \(\frac{7-3}{8}\) = \(\frac{4}{8}\) = \(\frac{1}{2}\)
b.
Answer: \(\frac{4}{5}\)
Explanation:
To add fractions with like denominators, add the numerators and use the common denominator.
\(\frac{1}{5}\) + \(\frac{3}{5}\) = \(\frac{1+3}{5}\) = \(\frac{4}{5}\)
c.
Answer: \(\frac{4}{8}\)
Explanation:
To add fractions with like denominators, add the numerators and use the common denominator.
\(\frac{3}{8}\) + \(\frac{1}{8}\) = \(\frac{3+1}{8}\) = \(\frac{4}{8}\) = \(\frac{1}{2}\)
d.
Answer: \(\frac{2}{5}\)
Explanation:
To subtract fractions with like denominators, subtract the numerators and use the common denominator.
\(\frac{4}{5}\) – \(\frac{2}{5}\) = \(\frac{4-2}{5}\) = \(\frac{2}{5}\)
Question 3.
a.
Answer: \(\frac{6}{9}\)
Explanation:
To subtract fractions with like denominators, subtract the numerators and use the common denominator.
\(\frac{7}{9}\) – \(\frac{1}{9}\) = \(\frac{7-1}{9}\) = \(\frac{6}{9}\) = \(\frac{2}{3}\)
b.
Answer: \(\frac{7}{9}\)
Explanation:
To add fractions with like denominators, add the numerators and use the common denominator.
\(\frac{2}{9}\) + \(\frac{5}{9}\) = \(\frac{2+5}{9}\) = \(\frac{7}{9}\)
c.
Answer: \(\frac{6}{7}\)
Explanation:
To add fractions with like denominators, add the numerators and use the common denominator.
\(\frac{5}{7}\) + \(\frac{1}{7}\) = \(\frac{5+1}{7}\) = \(\frac{6}{7}\)
d.
Answer: \(\frac{4}{6}\)
Explanation:
To subtract fractions with like denominators, subtract the numerators and use the common denominator.
\(\frac{5}{6}\) – \(\frac{1}{6}\) = \(\frac{5-1}{6}\) = \(\frac{4}{6}\)
Question 4.
a.
Answer: \(\frac{4}{10}\)
Explanation:
To add fractions with like denominators, add the numerators and use the common denominator.
\(\frac{1}{10}\) + \(\frac{3}{10}\) = \(\frac{1+3}{10}\) = \(\frac{4}{10}\)
b.
Answer: \(\frac{1}{9}\)
Explanation:
To subtract fractions with like denominators, subtract the numerators and use the common denominator.
\(\frac{6}{9}\) – \(\frac{5}{9}\) = \(\frac{6-5}{9}\) = \(\frac{1}{9}\)
c.
Answer: \(\frac{5}{7}\)
Explanation:
To subtract fractions with like denominators, subtract the numerators and use the common denominator.
\(\frac{6}{7}\) – \(\frac{1}{7}\) = \(\frac{6-1}{7}\) = \(\frac{5}{7}\)
d.
Answer: \(\frac{6}{9}\)
Explanation:
To add fractions with like denominators, add the numerators and use the common denominator.
\(\frac{5}{9}\) + \(\frac{1}{9}\) = \(\frac{5+1}{9}\) = \(\frac{6}{9}\)