What is 4+(6^2+1/4)× 3 ?

The solution to 4+(6^2+1/4)× 3 is 112 3/4

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Popular Pre Algebra >

4+(6^2+1/4)× 3

Solution

4 + (6^{2} + \frac{1}{4}) \cdot 3

Solution

112 \frac{3}{4}

Decimal

112.75

Solution steps

4 + (6^{2} + \frac{1}{4}) \cdot 3

Follow the PEMDAS order of operations

Calculate within parentheses

(6^{2} + \frac{1}{4}) : \frac{145}{4}

6^{2} + \frac{1}{4}

Calculate exponents

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 36 + \frac{1}{4}

Add and subtract (left to right)

36 + \frac{1}{4} : \frac{145}{4}

36 + \frac{1}{4}

36 + \frac{1}{4} = \frac{145}{4}

36 + \frac{1}{4}

Convert element to fraction:

36 = \frac{36 \cdot 4}{4}

= \frac{36 \cdot 4}{4} + \frac{1}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{36 \cdot 4 + 1}{4}

36 \cdot 4 + 1 = 145

36 \cdot 4 + 1

Multiply the numbers:

36 \cdot 4 = 144

= 144 + 1

Add the numbers:

144 + 1 = 145

= 145

= \frac{145}{4}

= \frac{145}{4}

= \frac{145}{4}

= 4 + \frac{145}{4} \cdot 3

Multiply and divide (left to right)

\frac{145}{4} \cdot 3 : \frac{435}{4}

\frac{145}{4} \cdot 3

Convert element to fraction:

3 = \frac{3}{1}

= \frac{145}{4} \cdot \frac{3}{1}

Apply the fraction rule:

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

= \frac{145 \cdot 3}{4 \cdot 1}

Multiply the numbers:

145 \cdot 3 = 435

= \frac{435}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{435}{4}

= 4 + \frac{435}{4}

Add and subtract (left to right)

4 + \frac{435}{4} : \frac{451}{4}

4 + \frac{435}{4}

4 + \frac{435}{4} = \frac{451}{4}

4 + \frac{435}{4}

Convert element to fraction:

4 = \frac{4 \cdot 4}{4}

= \frac{4 \cdot 4}{4} + \frac{435}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{4 \cdot 4 + 435}{4}

4 \cdot 4 + 435 = 451

4 \cdot 4 + 435

Multiply the numbers:

4 \cdot 4 = 16

= 16 + 435

Add the numbers:

16 + 435 = 451

= 451

= \frac{451}{4}

= \frac{451}{4}

= \frac{451}{4}

Convert improper fractions to mixed numbers:

\frac{451}{4} = 112 \frac{3}{4}

\frac{451}{4} = 112

Remainder

3

\frac{451}{4}

Write the problem in long division format

4 \overline{∣ 451}

Divide

4

4

to get

1

Divide

4

4

to get

1

1 4 \overline{∣ 451}

Multiply the quotient digit

(1)

by the divisor

4

1 4 \overline{∣ 451} \underline{4}

Subtract

4

from

4

1 4 \overline{∣ 451} \underline{4} 0

Bring down the next number of the dividend

1 4 \overline{∣ 451} \underline{4} 05

1 4 \overline{∣ 451} \underline{4} 05

Divide

5

4

to get

1

Divide

5

4

to get

1

11 4 \overline{∣ 451} \underline{4} 05

Multiply the quotient digit

(1)

by the divisor

4

11 4 \overline{∣ 451} \underline{4} 05 \underline{4}

Subtract

4

from

5

11 4 \overline{∣ 451} \underline{4} 05 \underline{4} 1

Bring down the next number of the dividend

11 4 \overline{∣ 451} \underline{4} 05 \underline{4} 11

11 4 \overline{∣ 451} \underline{4} 05 \underline{4} 11

Divide

11

4

to get

2

Divide

11

4

to get

2

112 4 \overline{∣ 451} \underline{4} 05 \underline{4} 11

Multiply the quotient digit

(2)

by the divisor

4

112 4 \overline{∣ 451} \underline{4} 05 \underline{4} 11 \underline{8}

Subtract

8

from

11

112 4 \overline{∣ 451} \underline{4} 05 \underline{4} 11 \underline{8} 3

112 4 \overline{∣ 451} \underline{4} 05 \underline{4} 11 \underline{8} 3

The solution for Long Division of

\frac{451}{4}

112

with remainder of

3

112 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{451}{4} = 112 \frac{3}{4}

= 112 \frac{3}{4}

= 112 \frac{3}{4}

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Frequently Asked Questions (FAQ)

What is 4+(6^2+1/4)× 3 ?
The solution to 4+(6^2+1/4)× 3 is 112 3/4

4+(6^2+1/4)× 3

Solution

Solution

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Frequently Asked Questions (FAQ)

What is 4+(6^2+1/4)× 3 ?

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