Math Problem Statement

Multiply each whole number by each fraction. Find the smallest and largest result.

Solution

The question asks you to multiply each whole number by the corresponding fraction. Let's break it down and solve:

Multiplying the whole numbers by the fractions:

  1. 6×16 \times 1 (This one is straightforward):
    6×1=66 \times 1 = 6

  2. 8×788 \times \frac{7}{8}:
    8×78=8×78=78 \times \frac{7}{8} = \frac{8 \times 7}{8} = 7

  3. 10×3410 \times \frac{3}{4}:
    10×34=10×34=304=7.510 \times \frac{3}{4} = \frac{10 \times 3}{4} = \frac{30}{4} = 7.5

  4. 5×585 \times \frac{5}{8}:
    5×58=5×58=258=3.1255 \times \frac{5}{8} = \frac{5 \times 5}{8} = \frac{25}{8} = 3.125

Now, the answers:

  • 6×1=66 \times 1 = 6
  • 8×78=78 \times \frac{7}{8} = 7
  • 10×34=7.510 \times \frac{3}{4} = 7.5
  • 5×58=3.1255 \times \frac{5}{8} = 3.125

a) The smallest answer:

3.125 (from 5×585 \times \frac{5}{8})

b) The largest answer:

7.5 (from 10×3410 \times \frac{3}{4})

Would you like any more detailed explanations or further questions related to this problem?

Here are 5 related questions:

  1. How do you multiply a whole number by a fraction?
  2. What is the general process to simplify fractions after multiplication?
  3. Why does multiplying a whole number by a fraction often result in a smaller value?
  4. How do you convert an improper fraction to a decimal?
  5. Can the result of multiplying a whole number by a fraction ever be greater than the whole number?

Tip: Always check if you can simplify a fraction before multiplying to make calculations easier.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Fractions
Whole Numbers

Formulas

Multiplication of a whole number and a fraction: a * (b/c) = (a * b) / c

Theorems

Basic Fraction Multiplication

Suitable Grade Level

Grades 5-7