Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators

This handy Spectrum Math Grade 4 Answer Key Chapter 6 Lesson 6.4 Adding Fractions with Like Denominators provides detailed answers for the workbook questions.

Spectrum Math Grade 4 Chapter 6 Lesson 6.4 Adding Fractions with Like Denominators Answers Key

Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 1

Add the numerators.
\(\frac{2}{8}\) + \(\frac{5}{8}\) = \(\frac{2+5}{8}\) = \(\frac{7}{8}\)
Write the sum over the common denominator.

Add.

Question 1.
a. \(\frac{3}{12}\) + \(\frac{8}{12}\) = ______________
Answer:
\(\frac{11}{12}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{3}{12}\) + \(\frac{8}{12}\) = \(\frac{3+8}{12}\) = \(\frac{11}{12}\)
Write the sum over the common denominator as shown above.

b. \(\frac{2}{5}\) + \(\frac{1}{5}\) = ______________
Answer:
\(\frac{3}{5}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{2}{5}\) + \(\frac{1}{5}\) = \(\frac{2+1}{5}\) = \(\frac{3}{5}\)
Write the sum over the common denominator as shown above.

c. \(\frac{3}{6}\) + \(\frac{2}{6}\) = ______________
Answer:
\(\frac{5}{6}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{3}{6}\) + \(\frac{2}{6}\) = \(\frac{3+2}{6}\) = \(\frac{5}{6}\)
Write the sum over the common denominator as shown above.

d. \(\frac{1}{4}\) + \(\frac{2}{4}\) = ______________
Answer:
\(\frac{3}{4}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{1}{4}\) + \(\frac{2}{4}\) = \(\frac{1+2}{4}\) = \(\frac{3}{4}\)
Write the sum over the common denominator as shown above.

Question 2.
a. \(\frac{1}{10}\) + \(\frac{3}{10}\) = ______________
Answer:
\(\frac{4}{10}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{1}{10}\) + \(\frac{3}{10}\) = \(\frac{1+3}{10}\) = \(\frac{4}{10}\)
Write the sum over the common denominator as shown above.

b. \(\frac{3}{8}\) + \(\frac{2}{8}\) = ______________
Answer:
\(\frac{5}{8}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{3}{8}\) + \(\frac{2}{8}\) = \(\frac{3+2}{8}\) = \(\frac{5}{8}\)
Write the sum over the common denominator as shown above.

c. \(\frac{1}{3}\) + \(\frac{1}{3}\) = ______________
Answer:
\(\frac{2}{3}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{1}{3}\) + \(\frac{1}{3}\) = \(\frac{1+1}{3}\) = \(\frac{2}{3}\)
Write the sum over the common denominator as shown above.

d. \(\frac{2}{7}\) + \(\frac{2}{7}\) = ______________
Answer:
\(\frac{4}{7}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{2}{7}\) + \(\frac{2}{7}\) = \(\frac{2+2}{7}\) = \(\frac{4}{7}\)
Write the sum over the common denominator as shown above.

Question 3.
a. \(\frac{3}{5}\) + \(\frac{1}{5}\) = ______________
Answer:
\(\frac{4}{5}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{3}{5}\) + \(\frac{1}{5}\) = \(\frac{3+1}{5}\) = \(\frac{4}{5}\)
Write the sum over the common denominator as shown above.

b. \(\frac{4}{12}\) + \(\frac{5}{12}\) = ______________
Answer:
\(\frac{9}{12}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{4}{12}\) + \(\frac{5}{12}\) = \(\frac{4+5}{12}\) = \(\frac{9}{12}\)
Write the sum over the common denominator as shown above.

c. \(\frac{3}{10}\) + \(\frac{6}{10}\) = ______________
Answer:
\(\frac{9}{10}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{3}{10}\) + \(\frac{6}{10}\) = \(\frac{3+6}{10}\) = \(\frac{9}{10}\)
Write the sum over the common denominator as shown above.

d. \(\frac{2}{5}\) + \(\frac{2}{5}\) = ______________
Answer:
\(\frac{4}{5}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{2}{5}\) + \(\frac{2}{5}\) = \(\frac{2+2}{5}\) = \(\frac{4}{5}\)
Write the sum over the common denominator as shown above.

Question 4.
a.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 2
Answer:
\(\frac{5}{8}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{3}{8}\) + \(\frac{2}{8}\) = \(\frac{3+2}{8}\) = \(\frac{5}{8}\)
Write the sum over the common denominator as shown above.

b.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 3
Answer:
\(\frac{7}{12}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{3}{12}\) + \(\frac{4}{12}\) = \(\frac{3+4}{12}\) = \(\frac{7}{12}\)
Write the sum over the common denominator as shown above.

c.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 4
Answer:
\(\frac{2}{6}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{1}{6}\) + \(\frac{1}{6}\) = \(\frac{1+1}{6}\) = \(\frac{2}{6}\)
Write the sum over the common denominator as shown above.

d.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 5
Answer:
\(\frac{3}{6}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{2}{6}\) + \(\frac{1}{6}\) = \(\frac{2+1}{6}\) = \(\frac{3}{6}\)
Write the sum over the common denominator as shown above.

e.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 6
Answer:
\(\frac{2}{8}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{1}{8}\) + \(\frac{1}{8}\) = \(\frac{1+1}{8}\) = \(\frac{2}{8}\)
Write the sum over the common denominator as shown above.

Question 5.
a.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 7
Answer:
\(\frac{5}{8}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{3}{8}\) + \(\frac{2}{8}\) = \(\frac{3+2}{8}\) = \(\frac{5}{8}\)
Write the sum over the common denominator as shown above.

b.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 8
Answer:
\(\frac{7}{7}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{3}{7}\) + \(\frac{4}{7}\) = \(\frac{3+4}{7}\) = \(\frac{7}{7}\)
Write the sum over the common denominator as shown above.

c.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 9
Answer:
\(\frac{9}{10}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{7}{10}\) + \(\frac{2}{10}\) = \(\frac{7+2}{10}\) = \(\frac{9}{10}\)
Write the sum over the common denominator as shown above.

d.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 10
Answer:
\(\frac{4}{5}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{3}{5}\) + \(\frac{1}{5}\) = \(\frac{3+1}{5}\) = \(\frac{4}{5}\)
Write the sum over the common denominator as shown above.

e.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 11
Answer:
\(\frac{11}{12}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{8}{12}\) + \(\frac{3}{12}\) = \(\frac{8+3}{12}\) = \(\frac{11}{12}\)
Write the sum over the common denominator as shown above.

Question 6.
a.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 12
Answer:
\(\frac{8}{11}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{5}{11}\) + \(\frac{3}{11}\) = \(\frac{5+3}{12}\) = \(\frac{8}{11}\)
Write the sum over the common denominator as shown above.

b.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 13
Answer:
\(\frac{2}{4}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{1}{4}\) + \(\frac{1}{4}\) = \(\frac{1+1}{4}\) = \(\frac{2}{4}\)
Write the sum over the common denominator as shown above.

c.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 14
Answer:
\(\frac{2}{2}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{1}{2}\) + \(\frac{1}{2}\) = \(\frac{1+1}{2}\) = \(\frac{2}{2}\)
Write the sum over the common denominator as shown above.

d.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 15
Answer:
\(\frac{6}{7}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{5}{7}\) + \(\frac{1}{7}\) = \(\frac{5+1}{7}\) = \(\frac{6}{7}\)
Write the sum over the common denominator as shown above.

e.
Spectrum Math Grade 4 Chapter 6 Lesson 4 Answer Key Adding Fractions with Like Denominators 16
Answer:
\(\frac{4}{9}\)

Explanation:
When the denominators are same, then add the numerators.
\(\frac{3}{9}\) + \(\frac{1}{9}\) = \(\frac{3+1}{9}\) = \(\frac{4}{9}\)
Write the sum over the common denominator as shown above.

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