Respuesta :

shanshancupcake

Answer:

The answer is:

[tex] \frac{10}{3} [/tex]

Step-by-step explanation:

Before multiplying you can turn the mixed fraction into an improper one hence:

[tex]4 \frac{2}{3} = \\ (3 \times 4) + 2 = \frac{14}{3} \\ [/tex]

Now we multiply:

[tex] \frac{5}{7} \times \frac{14}{3} = \frac{10}{3} or \: 3 \frac{1}{3} [/tex]

charliethebest2002

Answer:

  • [tex]\Large\boxed{\sf{3\dfrac{1}{3}}}[/tex]

Step-by-step explanation:

The solution is to convert mixed numbers into improper fractions.

5/7*4 2/3

4 2/3=4*3+2/3

4*3+2

Use the order of operations.

PEMDAS stands for:

  • Parentheses
  • Exponents
  • Multiply
  • Divide
  • Add
  • Subtract

First, do multiply.

4*3=12

12+2

Then, you add.

12+2=14

= 14/3

5/7*14/3

[tex]\Longrightarrow: \sf{\dfrac{5\cdot \:14}{7\cdot \:3}}[/tex]

7*2=14

[tex]\Longrightarrow: \sf{\dfrac{5*7* \:2}{7* 3}}[/tex]

Common factor of 7.

[tex]\Longrightarrow: \sf{\dfrac{5*2}{3}}[/tex]

Multiply.

5*2=10

10/3

10/3=3 1/3

[tex]\Longrightarrow: \boxed{\sf{3\dfrac{1}{3} }}[/tex]

  • Therefore, the final answer is 3 1/3.

I hope this helps. Let me know if you have any questions.

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