What is 7397-1/10 (269)^2 ?

The solution to 7397-1/10 (269)^2 is 160 9/10

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Popular >

7397-1/10 (269)^2

Solution

7397 - \frac{1}{10} (269)^{2}

Solution

160 \frac{9}{10}

Solution steps

7397 - \frac{1}{10} (269)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(269)^{2} : 72361

(269)^{2}

(269)^{2} = 72361

= 72361

= 7397 - \frac{1}{10} \cdot 72361

Multiply and divide (left to right)

\frac{1}{10} \cdot 72361 : \frac{72361}{10}

\frac{1}{10} \cdot 72361

Convert element to fraction:

72361 = \frac{72361}{1}

= \frac{1}{10} \cdot \frac{72361}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 72361}{10 \cdot 1}

Multiply the numbers:

1 \cdot 72361 = 72361

= \frac{72361}{10 \cdot 1}

Multiply the numbers:

10 \cdot 1 = 10

= \frac{72361}{10}

= 7397 - \frac{72361}{10}

Add and subtract (left to right)

7397 - \frac{72361}{10} : \frac{1609}{10}

7397 - \frac{72361}{10}

7397 - \frac{72361}{10} = \frac{1609}{10}

7397 - \frac{72361}{10}

Convert element to fraction:

7397 = \frac{7397 \cdot 10}{10}

= \frac{7397 \cdot 10}{10} - \frac{72361}{10}

Since the denominators are equal, combine the fractions:

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

= \frac{7397 \cdot 10 - 72361}{10}

7397 \cdot 10 - 72361 = 1609

7397 \cdot 10 - 72361

Multiply the numbers:

7397 \cdot 10 = 73970

= 73970 - 72361

Subtract the numbers:

73970 - 72361 = 1609

= 1609

= \frac{1609}{10}

= \frac{1609}{10}

= \frac{1609}{10}

Convert improper fractions to mixed numbers:

\frac{1609}{10} = 160 \frac{9}{10}

\frac{1609}{10} = 160

Remainder

9

\frac{1609}{10}

Write the problem in long division format

10 \overline{∣ 1609}

Divide

16

10

to get

1

Divide

16

10

to get

1

1 10 \overline{∣ 1609}

Multiply the quotient digit

(1)

by the divisor

10

1 10 \overline{∣ 1609} \underline{10}

Subtract

10

from

16

1 10 \overline{∣ 1609} \underline{10} 6

Bring down the next number of the dividend

1 10 \overline{∣ 1609} \underline{10} 60

1 10 \overline{∣ 1609} \underline{10} 60

Divide

60

10

to get

6

Divide

60

10

to get

6

16 10 \overline{∣ 1609} \underline{10} 60

Multiply the quotient digit

(6)

by the divisor

10

16 10 \overline{∣ 1609} \underline{10} 60 \underline{60}

Subtract

60

from

60

16 10 \overline{∣ 1609} \underline{10} 60 \underline{60} 0

Bring down the next number of the dividend

16 10 \overline{∣ 1609} \underline{10} 60 \underline{60} 09

16 10 \overline{∣ 1609} \underline{10} 60 \underline{60} 09

Divide

9

10

to get

0

Divide

9

10

to get

0

160 10 \overline{∣ 1609} \underline{10} 60 \underline{60} 09

Multiply the quotient digit

(0)

by the divisor

10

160 10 \overline{∣ 1609} \underline{10} 60 \underline{60} 09 \underline{0}

Subtract

0

from

9

160 10 \overline{∣ 1609} \underline{10} 60 \underline{60} 09 \underline{0} 9

160 10 \overline{∣ 1609} \underline{10} 60 \underline{60} 09 \underline{0} 9

The solution for Long Division of

\frac{1609}{10}

160

with remainder of

9

160 Remainder 9

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{1609}{10} = 160 \frac{9}{10}

= 160 \frac{9}{10}

= 160 \frac{9}{10}

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Frequently Asked Questions (FAQ)

What is 7397-1/10 (269)^2 ?
The solution to 7397-1/10 (269)^2 is 160 9/10