What is 38+145× 6\div 23 ?

The solution to 38+145× 6\div 23 is 75 19/23

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Popular Pre Algebra >

38+145× 6\div 23

Solution

38 + 145 \times 6 \div 23

Solution

75 \frac{19}{23}

Decimal

75.82608 \dots

Solution steps

38 + 145 \times 6 \div 23

Follow the PEMDAS order of operations

Multiply and divide (left to right)

145 \times 6 \div 23 : \frac{870}{23}

145 \times 6 \div 23

145 \times 6 = 870

= 870 \div 23

870 \div 23 = \frac{870}{23}

= \frac{870}{23}

= 38 + \frac{870}{23}

Add and subtract (left to right)

38 + \frac{870}{23} : \frac{1744}{23}

38 + \frac{870}{23}

38 + \frac{870}{23} = \frac{1744}{23}

38 + \frac{870}{23}

Convert element to fraction:

38 = \frac{38 \cdot 23}{23}

= \frac{38 \cdot 23}{23} + \frac{870}{23}

Since the denominators are equal, combine the fractions:

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

= \frac{38 \cdot 23 + 870}{23}

38 \cdot 23 + 870 = 1744

38 \cdot 23 + 870

Multiply the numbers:

38 \cdot 23 = 874

= 874 + 870

Add the numbers:

874 + 870 = 1744

= 1744

= \frac{1744}{23}

= \frac{1744}{23}

= \frac{1744}{23}

Convert improper fractions to mixed numbers:

\frac{1744}{23} = 75 \frac{19}{23}

\frac{1744}{23} = 75

Remainder

19

\frac{1744}{23}

Write the problem in long division format

23 \overline{∣ 1744}

Divide

174

23

to get

7

Divide

174

23

to get

7

7 23 \overline{∣ 1744}

Multiply the quotient digit

(7)

by the divisor

23

7 23 \overline{∣ 1744} \underline{161}

Subtract

161

from

174

7 23 \overline{∣ 1744} \underline{161} 13

Bring down the next number of the dividend

7 23 \overline{∣ 1744} \underline{161} 134

7 23 \overline{∣ 1744} \underline{161} 134

Divide

134

23

to get

5

Divide

134

23

to get

5

75 23 \overline{∣ 1744} \underline{161} 134

Multiply the quotient digit

(5)

by the divisor

23

75 23 \overline{∣ 1744} \underline{161} 134 \underline{115}

Subtract

115

from

134

75 23 \overline{∣ 1744} \underline{161} 134 \underline{115} 19

75 23 \overline{∣ 1744} \underline{161} 134 \underline{115} 19

The solution for Long Division of

\frac{1744}{23}

75

with remainder of

19

75 Remainder 19

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{1744}{23} = 75 \frac{19}{23}

= 75 \frac{19}{23}

= 75 \frac{19}{23}

Popular Examples

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Frequently Asked Questions (FAQ)

What is 38+145× 6\div 23 ?
The solution to 38+145× 6\div 23 is 75 19/23

38+145× 6\div 23

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 38+145× 6\div 23 ?

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