McGraw Hill Math Grade 7 Lesson 6.4 Answer Key Subtracting Fractions with Like Denominators

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McGraw-Hill Math Grade 7 Answer Key Lesson 6.4 Subtracting Fractions with Like Denominators

Exercises Subtract

Question 1.
\(\frac{3}{4}\) – \(\frac{1}{4}\)
Answer:
\(\frac{3}{4}\) – \(\frac{1}{4}\) = (3-1)/4 = \(\frac{2}{4}\) = \(\frac{1}{2}\) 
Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{1}{4}\) from \(\frac{3}{4}\) the difference is equal to \(\frac{2}{4}\) or \(\frac{1}{2}\).

Question 2.
\(\frac{7}{8}\) – \(\frac{5}{8}\)
Answer:
\(\frac{7}{8}\) – \(\frac{5}{8}\) = (7 – 5)/8 = \(\frac{2}{8}\) = \(\frac{1}{4}\) 
Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{5}{8}\) from \(\frac{7}{8}\) the difference is equal to \(\frac{2}{8}\) or \(\frac{1}{4}\).

Question 3.
\(\frac{7}{4}\) – \(\frac{1}{4}\)
Answer:
\(\frac{7}{4}\) – \(\frac{1}{4}\) = (7 – 1)/4 = \(\frac{6}{4}\) = \(\frac{3}{2}\) 
Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{1}{4}\) from \(\frac{7}{4}\) the difference is equal to \(\frac{6}{4}\) or \(\frac{3}{2}\).

Question 4.
\(\frac{14}{5}\) – \(\frac{8}{5}\)
Answer:
\(\frac{14}{5}\) – \(\frac{8}{5}\) = (14 – 8)/5 = \(\frac{6}{5}\) 
Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{8}{5}\) from \(\frac{14}{5}\) the difference is equal to \(\frac{6}{5}\).

Question 5.
\(\frac{33}{7}\) – \(\frac{29}{7}\)
Answer:
\(\frac{33}{7}\) – \(\frac{29}{7}\) = (33-29)/7 = \(\frac{4}{7}\) 
Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{29}{7}\) from \(\frac{33}{7}\) the difference is equal to \(\frac{4}{7}\).

Question 6.
\(\frac{9}{11}\) – \(\frac{7}{11}\)
Answer:
\(\frac{9}{11}\) – \(\frac{7}{11}\) = (9 – 7)/11 = \(\frac{2}{11}\) 
Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{7}{11}\) form \(\frac{9}{11}\) the difference is equal to \(\frac{2}{11}\).

Question 7.
\(\frac{14}{3}\) – \(\frac{7}{3}\)
Answer:
\(\frac{14}{3}\) – \(\frac{7}{3}\) = (14 – 7)/3 = \(\frac{7}{3}\) 
Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{7}{3}\) form \(\frac{14}{3}\) the difference is equal to \(\frac{7}{3}\).

Question 8.
\(\frac{21}{19}\) – \(\frac{13}{19}\)
Answer:
\(\frac{21}{19}\) – \(\frac{13}{19}\) = (21 – 13)/19 = \(\frac{8}{19}\) 
Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{13}{19}\) form \(\frac{21}{19}\) the difference is equal to \(\frac{8}{19}\).

Question 9.

Answer:

Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{2}{5}\) form \(\frac{12}{5}\) the difference is equal to \(\frac{10}{5}\) or 2.

Question 10.

Answer:

Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{17}{7}\) form \(\frac{23}{7}\) the difference is equal to \(\frac{6}{7}\).

Question 11.

Answer:

Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{37}{8}\) form \(\frac{45}{8}\) the difference is equal to \(\frac{8}{8}\) or 1.

Question 12.

Answer:

Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{4}{51}\) form \(\frac{12}{51}\) the difference is equal to \(\frac{8}{51}\).

Question 13.

Answer:

Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{14}{13}\) form \(\frac{43}{13}\) the difference is equal to \(\frac{29}{13}\).

Question 14.

Answer:

Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{35}{17}\) form \(\frac{56}{17}\) the difference is equal to \(\frac{21}{17}\).

Question 15.

Answer:

Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{3}{4}\) form \(\frac{7}{4}\) the difference is equal to \(\frac{4}{4}\) or 1.

Question 16.

Answer:

Explanation:
Perform subtraction operation on above two given fractions. Subtract \(\frac{14}{37}\) form \(\frac{32}{37}\) the difference is equal to \(\frac{18}{37}\).