What is 5+6\times 4-7\div 3 ?

The solution to 5+6\times 4-7\div 3 is 26 2/3

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Popular >

5+6\times 4-7\div 3

Solution

5 + 6 \times 4 - 7 \div 3

Solution

26 \frac{2}{3}

Solution steps

5 + 6 \times 4 - 7 \div 3

Follow the PEMDAS order of operations

Multiply and divide (left to right)

6 \times 4 : 24

6 \times 4

6 \times 4 = 24

= 24

= 5 + 24 - 7 \div 3

Multiply and divide (left to right)

7 \div 3 : \frac{7}{3}

7 \div 3

7 \div 3 = \frac{7}{3}

= \frac{7}{3}

= 5 + 24 - \frac{7}{3}

Add and subtract (left to right)

5 + 24 - \frac{7}{3} : \frac{80}{3}

5 + 24 - \frac{7}{3}

5 + 24 = 29

= 29 - \frac{7}{3}

29 - \frac{7}{3} = \frac{80}{3}

29 - \frac{7}{3}

Convert element to fraction:

29 = \frac{29 \cdot 3}{3}

= \frac{29 \cdot 3}{3} - \frac{7}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{29 \cdot 3 - 7}{3}

29 \cdot 3 - 7 = 80

29 \cdot 3 - 7

Multiply the numbers:

29 \cdot 3 = 87

= 87 - 7

Subtract the numbers:

87 - 7 = 80

= 80

= \frac{80}{3}

= \frac{80}{3}

= \frac{80}{3}

Convert improper fractions to mixed numbers:

\frac{80}{3} = 26 \frac{2}{3}

\frac{80}{3} = 26

Remainder

2

\frac{80}{3}

Write the problem in long division format

3 \overline{∣ 80}

Divide

8

3

to get

2

Divide

8

3

to get

2

2 3 \overline{∣ 80}

Multiply the quotient digit

(2)

by the divisor

3

2 3 \overline{∣ 80} \underline{6}

Subtract

6

from

8

2 3 \overline{∣ 80} \underline{6} 2

Bring down the next number of the dividend

2 3 \overline{∣ 80} \underline{6} 20

2 3 \overline{∣ 80} \underline{6} 20

Divide

20

3

to get

6

Divide

20

3

to get

6

26 3 \overline{∣ 80} \underline{6} 20

Multiply the quotient digit

(6)

by the divisor

3

26 3 \overline{∣ 80} \underline{6} 20 \underline{18}

Subtract

18

from

20

26 3 \overline{∣ 80} \underline{6} 20 \underline{18} 2

26 3 \overline{∣ 80} \underline{6} 20 \underline{18} 2

The solution for Long Division of

\frac{80}{3}

26

with remainder of

2

26 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{80}{3} = 26 \frac{2}{3}

= 26 \frac{2}{3}

= 26 \frac{2}{3}

Popular Examples

-2*(5*3-5)\div 2

- 2 \cdot (5 \cdot 3 - 5) \div 2

33-48\div 2^2+7

33 - 48 \div 2^{2} + 7

64-128/3+64/5

64 - \frac{128}{3} + \frac{64}{5}

1(3+4)

1 (3 + 4)

1+9(-5-2)+3

1 + 9 (- 5 - 2) + 3

Frequently Asked Questions (FAQ)

What is 5+6\times 4-7\div 3 ?
The solution to 5+6\times 4-7\div 3 is 26 2/3