What is 1/3 (21)-1-1/2 (12) ?

The solution to 1/3 (21)-1-1/2 (12) is 0

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1/3 (21)-1-1/2 (12)

\frac{1}{3} (21) - 1 - \frac{1}{2} (12)

0

Solution steps

\frac{1}{3} (21) - 1 - \frac{1}{2} (12)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{3} (21) : 7

\frac{1}{3} (21)

Apply rule:

(a) = a

(21) = 21

= \frac{1}{3} \cdot 21

\frac{1}{3} \cdot 21 = 7

\frac{1}{3} \cdot 21

Convert element to fraction:

21 = \frac{21}{1}

= \frac{1}{3} \cdot \frac{21}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 21}{3 \cdot 1}

\frac{1 \cdot 21}{3 \cdot 1} = 7

\frac{1 \cdot 21}{3 \cdot 1}

\frac{1 \cdot 21}{3 \cdot 1} = \frac{21}{3}

\frac{1 \cdot 21}{3 \cdot 1}

Multiply the numbers:

1 \cdot 21 = 21

= \frac{21}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{21}{3}

= \frac{21}{3}

Divide the numbers:

\frac{21}{3} = 7

= 7

= 7

= 7

= 7 - 1 - \frac{1}{2} (12)

Multiply and divide (left to right)

\frac{1}{2} (12) : 6

\frac{1}{2} (12)

Apply rule:

(a) = a

(12) = 12

= \frac{1}{2} \cdot 12

\frac{1}{2} \cdot 12 = 6

\frac{1}{2} \cdot 12

Convert element to fraction:

12 = \frac{12}{1}

= \frac{1}{2} \cdot \frac{12}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 12}{2 \cdot 1}

\frac{1 \cdot 12}{2 \cdot 1} = 6

\frac{1 \cdot 12}{2 \cdot 1}

\frac{1 \cdot 12}{2 \cdot 1} = \frac{12}{2}

\frac{1 \cdot 12}{2 \cdot 1}

Multiply the numbers:

1 \cdot 12 = 12

= \frac{12}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{12}{2}

= \frac{12}{2}

Divide the numbers:

\frac{12}{2} = 6

= 6

= 6

= 6

= 7 - 1 - 6

Add and subtract (left to right)

7 - 1 - 6 : 0

7 - 1 - 6

7 - 1 = 6

= 6 - 6

6 - 6 = 0

= 0

= 0

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