The solution to 1/4*6+3*7 is 22 1/2

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Popular >

1/46+37

Solution

\frac{1}{4} \cdot 6 + 3 \cdot 7

Solution

22 \frac{1}{2}

Solution steps

\frac{1}{4} \cdot 6 + 3 \cdot 7

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{4} \cdot 6 : \frac{3}{2}

\frac{1}{4} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{1}{4} \cdot \frac{6}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 6}{4 \cdot 1}

\frac{1 \cdot 6}{4 \cdot 1} = \frac{3}{2}

\frac{1 \cdot 6}{4 \cdot 1}

\frac{1 \cdot 6}{4 \cdot 1} = \frac{6}{4}

\frac{1 \cdot 6}{4 \cdot 1}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{6}{4}

= \frac{6}{4}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3}{4}

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

= \frac{3}{2}

= \frac{3}{2}

= \frac{3}{2} + 3 \cdot 7

Multiply and divide (left to right)

3 \cdot 7 : 21

3 \cdot 7

3 \cdot 7 = 21

= 21

= \frac{3}{2} + 21

Add and subtract (left to right)

\frac{3}{2} + 21 : \frac{45}{2}

\frac{3}{2} + 21

\frac{3}{2} + 21 = \frac{45}{2}

\frac{3}{2} + 21

Convert element to fraction:

21 = \frac{21 \cdot 2}{2}

= \frac{21 \cdot 2}{2} + \frac{3}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{21 \cdot 2 + 3}{2}

21 \cdot 2 + 3 = 45

21 \cdot 2 + 3

Multiply the numbers:

21 \cdot 2 = 42

= 42 + 3

Add the numbers:

42 + 3 = 45

= 45

= \frac{45}{2}

= \frac{45}{2}

= \frac{45}{2}

Convert improper fractions to mixed numbers:

\frac{45}{2} = 22 \frac{1}{2}

\frac{45}{2} = 22

Remainder

1

\frac{45}{2}

Write the problem in long division format

2 \overline{∣ 45}

Divide

4

2

to get

2

Divide

4

2

to get

2

2 2 \overline{∣ 45}

Multiply the quotient digit

(2)

by the divisor

2

2 2 \overline{∣ 45} \underline{4}

Subtract

4

from

4

2 2 \overline{∣ 45} \underline{4} 0

Bring down the next number of the dividend

2 2 \overline{∣ 45} \underline{4} 05

2 2 \overline{∣ 45} \underline{4} 05

Divide

5

2

to get

2

Divide

5

2

to get

2

22 2 \overline{∣ 45} \underline{4} 05

Multiply the quotient digit

(2)

by the divisor

2

22 2 \overline{∣ 45} \underline{4} 05 \underline{4}

Subtract

4

from

5

22 2 \overline{∣ 45} \underline{4} 05 \underline{4} 1

22 2 \overline{∣ 45} \underline{4} 05 \underline{4} 1

The solution for Long Division of

\frac{45}{2}

22

with remainder of

1

22 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{45}{2} = 22 \frac{1}{2}

= 22 \frac{1}{2}

= 22 \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 1/4*6+3*7 ?
The solution to 1/4*6+3*7 is 22 1/2

1/4*6+3*7

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 1/4*6+3*7 ?

1/46+37

What is 1/46+37 ?