The solution to 1/4 × 7+3 is 4 3/4

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Popular Pre Algebra >

1/4 × 7+3

Solution

\frac{1}{4} \times 7 + 3

Solution

4 \frac{3}{4}

Decimal

4.75

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{4} \cdot 7 : \frac{7}{4}

\frac{1}{4} \cdot 7

Convert element to fraction:

7 = \frac{7}{1}

= \frac{1}{4} \cdot \frac{7}{1}

Apply the fraction rule:

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

= \frac{1 \cdot 7}{4 \cdot 1}

Multiply the numbers:

1 \cdot 7 = 7

= \frac{7}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{7}{4}

= \frac{7}{4} + 3

Add and subtract (left to right)

\frac{7}{4} + 3 : \frac{19}{4}

\frac{7}{4} + 3

\frac{7}{4} + 3 = \frac{19}{4}

\frac{7}{4} + 3

Convert element to fraction:

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

= \frac{3 \cdot 4}{4} + \frac{7}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{3 \cdot 4 + 7}{4}

3 \cdot 4 + 7 = 19

3 \cdot 4 + 7

Multiply the numbers:

3 \cdot 4 = 12

= 12 + 7

Add the numbers:

12 + 7 = 19

= 19

= \frac{19}{4}

= \frac{19}{4}

= \frac{19}{4}

Convert improper fractions to mixed numbers:

\frac{19}{4} = 4 \frac{3}{4}

\frac{19}{4} = 4

Remainder

3

\frac{19}{4}

Write the problem in long division format

4 \overline{∣ 19}

Divide

19

4

to get

4

Divide

19

4

to get

4

4 4 \overline{∣ 19}

Multiply the quotient digit

(4)

by the divisor

4

4 4 \overline{∣ 19} \underline{16}

Subtract

16

from

19

4 4 \overline{∣ 19} \underline{16} 3

4 4 \overline{∣ 19} \underline{16} 3

The solution for Long Division of

\frac{19}{4}

4

with remainder of

3

4 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{19}{4} = 4 \frac{3}{4}

= 4 \frac{3}{4}

= 4 \frac{3}{4}

Popular Examples

6(2× 3-1)\div 3(1+3× 3)× 1

Frequently Asked Questions (FAQ)

What is 1/4 × 7+3 ?
The solution to 1/4 × 7+3 is 4 3/4

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1/4 × 7+3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 1/4 × 7+3 ?

Popular topics