Question

Evaluate the expression: +22 - (8 - 6) = 3 5 3 5 4. 1 3 5

Answer 1

Answer:

$4\frac{1}{3}$

Step-by-step explanation:

Apply PEMDAS order of operations:

→ Parentheses

→ Exponents

→ Multiplication

→ Division

→ Addition

→ Subtraction

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$\frac{3}{5}+2^2-\frac{2}{5}\left(8-6\right)\div \:3=4\frac{1}{3}$

1) Parentheses:

$\left(8-6\right)$

$8-6$

$=2$

$\frac{3}{5}+2^2-\frac{2}{5}\times \:2\div \:3$

2) Exponents:

$2^2$

$=4$

$\frac{3}{5}+4-\frac{2}{5}\cdot \:2\div \:3$

3) Multiplication/Division:

$\frac{2}{5}\times \:2\div \:3$

$\frac{2}{5}\times \:2$

Convert to fraction:

$2=\frac{2}{1}$

$\frac{2}{5}\times \frac{2}{1}$

Multiply 2 × 2, and 5 × 1:

$=\frac{4}{5}$

$\frac{4}{5}\div \:3$

Convert to fraction:

$3=\frac{3}{1}$

$\frac{4}{5}\div \frac{3}{1}$

Apply fraction rule: $\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$\frac{4}{5}\times \frac{1}{3}$

Multiply 4 × 1 and 5 × 3:

$\frac{4}{15}$

$\frac{3}{5}+4-\frac{4}{15}$

4) Addition/ Subtraction:

$\frac{3}{5}+4$

$=\frac{23}{5}$

$\frac{23}{5}-\frac{4}{15}$

$=\frac{13}{3}$

Finally, Convert fraction to mixed number:

$\frac{13}{3}=4\frac{1}{3}$

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Answer 2

Answer:

I was able to get 20 = 3 as my answer. Hope this helps.