What is (4-3/3)*(2/7+3) ?

The solution to (4-3/3)*(2/7+3) is 9 6/7

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Popular >

(4-3/3)*(2/7+3)

Solution

(4 - \frac{3}{3}) \cdot (\frac{2}{7} + 3)

Solution

9 \frac{6}{7}

Solution steps

(4 - \frac{3}{3}) (\frac{2}{7} + 3)

\frac{3}{3} = 1

Apply rule

\frac{a}{a} = 1

1

= (4 - 1) (\frac{2}{7} + 3)

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - 1) : 3

4 - 1

4 - 1 = 3

= 3

= 3 (\frac{2}{7} + 3)

Calculate within parentheses

(\frac{2}{7} + 3) : \frac{23}{7}

\frac{2}{7} + 3

\frac{2}{7} + 3 = \frac{23}{7}

\frac{2}{7} + 3

Convert element to fraction:

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

= \frac{3 \cdot 7}{7} + \frac{2}{7}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{3 \cdot 7 + 2}{7}

3 \cdot 7 + 2 = 23

3 \cdot 7 + 2

Multiply the numbers:

3 \cdot 7 = 21

= 21 + 2

Add the numbers:

21 + 2 = 23

= 23

= \frac{23}{7}

= \frac{23}{7}

= 3 \cdot \frac{23}{7}

Multiply and divide (left to right)

3 \cdot \frac{23}{7} : \frac{69}{7}

3 \cdot \frac{23}{7}

Convert element to fraction:

3 = \frac{3}{1}

= \frac{3}{1} \cdot \frac{23}{7}

Apply the fraction rule:

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

= \frac{3 \cdot 23}{1 \cdot 7}

Multiply the numbers:

3 \cdot 23 = 69

= \frac{69}{1 \cdot 7}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{69}{7}

= \frac{69}{7}

Convert improper fractions to mixed numbers:

\frac{69}{7} = 9 \frac{6}{7}

\frac{69}{7} = 9

Remainder

6

\frac{69}{7}

Write the problem in long division format

7 \overline{∣ 69}

Divide

69

7

to get

9

Divide

69

7

to get

9

9 7 \overline{∣ 69}

Multiply the quotient digit

(9)

by the divisor

7

9 7 \overline{∣ 69} \underline{63}

Subtract

63

from

69

9 7 \overline{∣ 69} \underline{63} 6

9 7 \overline{∣ 69} \underline{63} 6

The solution for Long Division of

\frac{69}{7}

9

with remainder of

6

9 Remainder 6

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{69}{7} = 9 \frac{6}{7}

= 9 \frac{6}{7}

= 9 \frac{6}{7}

Popular Examples

(9-32\div 4)^2

(9 - 32 \div 4)^{2}

4(9)+10

4 (9) + 10

21\div 3+2\times 5

21 \div 3 + 2 \times 5

3/4 (-1)^3

\frac{3}{4} (- 1)^{3}

-2-(1\times 0)

- 2 - (1 \times 0)

Frequently Asked Questions (FAQ)

What is (4-3/3)*(2/7+3) ?
The solution to (4-3/3)*(2/7+3) is 9 6/7