All the solutions provided in **McGraw Hill Math Grade 5 Answer Key PDF Chapter 7 Lesson 8 Multiplying by Fractions Greater Than or Less Than 1 **are as per the latest syllabus guidelines.

## McGraw-Hill Math Grade 5 Answer Key Chapter 7 Lesson 8 Multiplying by Fractions Greater Than or Less Than 1

**Solve**

**Tell whether the product will be less than or greater than the whole number being multiplied. Then multiply to prove your answer.**

Question 1.

4 × \(\frac{6}{5}\)

Estimate: ________________

Product: ________________

Answer:

Estimate: more than 4

Question 2.

5 × \(\frac{7}{6}\)

Estimate: ________________

Product: ________________

Answer:

Estimate: More than 5

Explanation:

5 × (7/6)

Product: 5.8333

Estimate: More than 5

Question 3.

7 × \(\frac{3}{3}\)

Estimate: ________________

Product: ________________

Answer:

Estimate: 7

Explanation:

7 × (3/3)

= 7 × 1

=7

Product: 7

Estimate: 7

Question 4.

7 × \(\frac{5}{3}\)

Estimate: ________________

Product: ________________

Answer:

Estimate: More than 11

Explanation:

7 × (5/3)

= 35/3

Product: 11.6666

Estimate: More than 11

**Tell whether the product will be less than or greater than the whole number being multiplied. Then multiply to prove your answer.**

Question 5.

4 × \(\frac{5}{6}\)

Estimate: ________________

Product: ________________

Answer:

Estimate: More than 3

Explanation:

4 × (5/6)

= 20/6

Product: 3.3333

Estimate: More than 3

Question 6.

9 × \(\frac{7}{8}\)

Estimate: ________________

Product: ________________

Answer:

Estimate: More than 7

Explanation:

9 × (7/8)

= (63/8)

Product: 7.875

Estimate: More than 7

Question 7.

11 × \(\frac{15}{16}\)

Estimate: ________________

Product: ________________

Answer:

Estimate: More than 27

Explanation:

11 × (15/16)

= (165/16)

Product: 27.5

Estimate: More than 27

Question 8.

9 × \(\frac{3}{16}\)

Estimate: ________________

Product: ________________

Answer:

Estimate: More than 1

Explanation:

9 × (3/16)

= (27/16)

Product: 1.6875

Estimate: More than 1

Question 9.

9 × \(\frac{7}{16}\)

Estimate: ________________

Product: ________________

Answer:

Estimate: More than 3

Explanation:

9 × (7/16)

= (63/16)

Product: 3.9375

Estimate: More than 3

Question 10.

9 × \(\frac{15}{16}\)

Estimate: ________________

Product: ________________

Answer:

Estimate: More than 8

Explanation:

9 × (15/16)

= (135/16)

Product: 8.4375

Estimate: More than 8

**Draw arrays to model the following and then multiply.**

Question 11.

Urban Steel Company is loading several old steel beams. The beams are 12 feet long and \(\frac{4}{3}\) feet wide. Their competitor, Second Story Steel Company, is also loading several steel beams. Second Story Steel’s beams are 12 feet long and \(\frac{3}{4}\) foot wide. How do the areas of these steel beams compare? Label your arrays and show your work.

DRAWING

Answer:

The area of the beams of Urban Steel Company = 16

The area of the beams of Story Steel Company = 9

Explanation:

The length of the beams of Urban Steel Company= 12 and (4/3)

The length of the beams of Story Steel Company = 12 and (3/4)

The area of the beams of Urban Steel Company = 12 × (4/3)

= (48/3)

= 16

The area of the beams of Story Steel Company = 12 × (3/4)

= (36/4)

= 9