What is 3\times 7+1\div 4 ?

The solution to 3\times 7+1\div 4 is 21 1/4

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Popular >

3\times 7+1\div 4

Solution

3 \times 7 + 1 \div 4

Solution

21 \frac{1}{4}

Solution steps

3 \times 7 + 1 \div 4

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 \times 7 : 21

3 \times 7

3 \times 7 = 21

= 21

= 21 + 1 \div 4

Multiply and divide (left to right)

1 \div 4 : \frac{1}{4}

1 \div 4

1 \div 4 = \frac{1}{4}

= \frac{1}{4}

= 21 + \frac{1}{4}

Add and subtract (left to right)

21 + \frac{1}{4} : \frac{85}{4}

21 + \frac{1}{4}

21 + \frac{1}{4} = \frac{85}{4}

21 + \frac{1}{4}

Convert element to fraction:

21 = \frac{21 \cdot 4}{4}

= \frac{21 \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{21 \cdot 4 + 1}{4}

21 \cdot 4 + 1 = 85

21 \cdot 4 + 1

Multiply the numbers:

21 \cdot 4 = 84

= 84 + 1

Add the numbers:

84 + 1 = 85

= 85

= \frac{85}{4}

= \frac{85}{4}

= \frac{85}{4}

Convert improper fractions to mixed numbers:

\frac{85}{4} = 21 \frac{1}{4}

\frac{85}{4} = 21

Remainder

1

\frac{85}{4}

Write the problem in long division format

4 \overline{∣ 85}

Divide

8

4

to get

2

Divide

8

4

to get

2

2 4 \overline{∣ 85}

Multiply the quotient digit

(2)

by the divisor

4

2 4 \overline{∣ 85} \underline{8}

Subtract

8

from

8

2 4 \overline{∣ 85} \underline{8} 0

Bring down the next number of the dividend

2 4 \overline{∣ 85} \underline{8} 05

2 4 \overline{∣ 85} \underline{8} 05

Divide

5

4

to get

1

Divide

5

4

to get

1

21 4 \overline{∣ 85} \underline{8} 05

Multiply the quotient digit

(1)

by the divisor

4

21 4 \overline{∣ 85} \underline{8} 05 \underline{4}

Subtract

4

from

5

21 4 \overline{∣ 85} \underline{8} 05 \underline{4} 1

21 4 \overline{∣ 85} \underline{8} 05 \underline{4} 1

The solution for Long Division of

\frac{85}{4}

21

with remainder of

1

21 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{85}{4} = 21 \frac{1}{4}

= 21 \frac{1}{4}

= 21 \frac{1}{4}

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48\div (20-24)+3\times (-4-5)-12\div (-6)

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\frac{( 2 ) ^{3} + 2 ( 2 ) ^{2} - 5 ( 2 ) + 6}{2 - 2}

Frequently Asked Questions (FAQ)

What is 3\times 7+1\div 4 ?
The solution to 3\times 7+1\div 4 is 21 1/4