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Multiply 4-3/5 by 2/3 and reduce the answer to lowest term​

Sagot :

Answer:

4 3/5 × 2/3 = 23/5 × 2/3 = 46/15 or 3 1/15

[tex] \frac{18}{5} [/tex]

Step-by-step explanation:

Multiply 3/5 × 2/3 by multiplying numerator times numerator and denominator times denominator.

[tex]4 - \frac{3 \times 2}{5 \times 3} [/tex]

Cancel out 3 in both numerator and denominator.

[tex]4 - \frac{2}{5} [/tex]

Convert 4 to fraction 20/5.

[tex] \frac{20}{5} - \frac{2}{5} [/tex]

Since 20/5 and 2/5 have the same denominator, subtract them by subtracting their numerators.

[tex] \frac{20 - 2}{5} [/tex]

Subtract 2 from 20 to get 18.

[tex]2 - 20 = 18[/tex]

Simplest Form:

[tex]3 \frac{3}{5} [/tex]

Converting to a mixed number using long division with remainders for 18 divide 5.

[tex]18 \div 5 = 3 \: r3[/tex]

Therefore:

[tex] \frac{18}{5} = 3 \frac{3}{5} [/tex]

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