What is 70\div 4+3-2\times 10+7 ?

The solution to 70\div 4+3-2\times 10+7 is 7 1/2

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70\div 4+3-2\times 10+7

Solution

70 \div 4 + 3 - 2 \times 10 + 7

Solution

7 \frac{1}{2}

Solution steps

70 \div 4 + 3 - 2 \times 10 + 7

Follow the PEMDAS order of operations

Multiply and divide (left to right)

70 \div 4 : \frac{70}{4}

70 \div 4

70 \div 4 = \frac{70}{4}

= \frac{70}{4}

= \frac{70}{4} + 3 - 2 \times 10 + 7

Multiply and divide (left to right)

2 \times 10 : 20

2 \times 10

2 \times 10 = 20

= 20

= \frac{70}{4} + 3 - 20 + 7

Add and subtract (left to right)

\frac{70}{4} + 3 - 20 + 7 : \frac{15}{2}

\frac{70}{4} + 3 - 20 + 7

\frac{70}{4} + 3 = \frac{41}{2}

\frac{70}{4} + 3

Cancel

\frac{70}{4} : \frac{35}{2}

\frac{70}{4}

Cancel the common factor:

2

= \frac{35}{2}

= \frac{35}{2} + 3

Convert element to fraction:

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

= \frac{3 \cdot 2}{2} + \frac{35}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{3 \cdot 2 + 35}{2}

3 \cdot 2 + 35 = 41

3 \cdot 2 + 35

Multiply the numbers:

3 \cdot 2 = 6

= 6 + 35

Add the numbers:

6 + 35 = 41

= 41

= \frac{41}{2}

= \frac{41}{2} - 20 + 7

\frac{41}{2} - 20 = \frac{1}{2}

\frac{41}{2} - 20

Convert element to fraction:

20 = \frac{20 \cdot 2}{2}

= - \frac{20 \cdot 2}{2} + \frac{41}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{- 20 \cdot 2 + 41}{2}

- 20 \cdot 2 + 41 = 1

- 20 \cdot 2 + 41

Multiply the numbers:

20 \cdot 2 = 40

= - 40 + 41

Add/Subtract the numbers:

- 40 + 41 = 1

= 1

= \frac{1}{2}

= \frac{1}{2} + 7

\frac{1}{2} + 7 = \frac{15}{2}

\frac{1}{2} + 7

Convert element to fraction:

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

= \frac{7 \cdot 2}{2} + \frac{1}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{7 \cdot 2 + 1}{2}

7 \cdot 2 + 1 = 15

7 \cdot 2 + 1

Multiply the numbers:

7 \cdot 2 = 14

= 14 + 1

Add the numbers:

14 + 1 = 15

= 15

= \frac{15}{2}

= \frac{15}{2}

= \frac{15}{2}

Convert improper fractions to mixed numbers:

\frac{15}{2} = 7 \frac{1}{2}

\frac{15}{2} = 7

Remainder

1

\frac{15}{2}

Write the problem in long division format

2 \overline{∣ 15}

Divide

15

2

to get

7

Divide

15

2

to get

7

7 2 \overline{∣ 15}

Multiply the quotient digit

(7)

by the divisor

2

7 2 \overline{∣ 15} \underline{14}

Subtract

14

from

15

7 2 \overline{∣ 15} \underline{14} 1

7 2 \overline{∣ 15} \underline{14} 1

The solution for Long Division of

\frac{15}{2}

7

with remainder of

1

7 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{15}{2} = 7 \frac{1}{2}

= 7 \frac{1}{2}

= 7 \frac{1}{2}

Popular Examples

4\div 2(-3+11)-15

4 \div 2 (- 3 + 11) - 15

(10^{11}+1)/(11^2)

\frac{1 0 ^{11} + 1}{1 1 ^{2}}

1-3/4 (-12)

1 - \frac{3}{4} (- 12)

(-18-2)\times (-7+8)+(-12\div 3)

(- 18 - 2) \times (- 7 + 8) + (- 12 \div 3)

-5*3^0

- 5 \cdot 3^{0}

Frequently Asked Questions (FAQ)

What is 70\div 4+3-2\times 10+7 ?
The solution to 70\div 4+3-2\times 10+7 is 7 1/2