What is 4+7 2/5 × 3 1/4 ?

The solution to 4+7 2/5 × 3 1/4 is 28 1/20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

4+7 2/5 × 3 1/4

Solution

4 + 7 \frac{2}{5} \times 3 \frac{1}{4}

Solution

28 \frac{1}{20}

Decimal

28.05

Solution steps

4 + 7 \frac{2}{5} \cdot 3 \frac{1}{4}

Convert mixed numbers to improper fractions:

7 \frac{2}{5} = \frac{37}{5}

7 \frac{2}{5}

Convert mixed numbers to improper fraction:

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

7 \frac{2}{5} = \frac{7 \cdot 5 + 2}{5}

= \frac{37}{5}

= 4 + \frac{37}{5} \cdot 3 \frac{1}{4}

Convert mixed numbers to improper fractions:

3 \frac{1}{4} = \frac{13}{4}

3 \frac{1}{4}

Convert mixed numbers to improper fraction:

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

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

= \frac{13}{4}

= 4 + \frac{37}{5} \cdot \frac{13}{4}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{37}{5} \cdot \frac{13}{4} : \frac{481}{20}

\frac{37}{5} \cdot \frac{13}{4}

Apply the fraction rule:

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

= \frac{37 \cdot 13}{5 \cdot 4}

Multiply the numbers:

37 \cdot 13 = 481

= \frac{481}{5 \cdot 4}

Multiply the numbers:

5 \cdot 4 = 20

= \frac{481}{20}

= 4 + \frac{481}{20}

Add and subtract (left to right)

4 + \frac{481}{20} : \frac{561}{20}

4 + \frac{481}{20}

4 + \frac{481}{20} = \frac{561}{20}

4 + \frac{481}{20}

Convert element to fraction:

4 = \frac{4 \cdot 20}{20}

= \frac{4 \cdot 20}{20} + \frac{481}{20}

Since the denominators are equal, combine the fractions:

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

= \frac{4 \cdot 20 + 481}{20}

4 \cdot 20 + 481 = 561

4 \cdot 20 + 481

Multiply the numbers:

4 \cdot 20 = 80

= 80 + 481

Add the numbers:

80 + 481 = 561

= 561

= \frac{561}{20}

= \frac{561}{20}

= \frac{561}{20}

Convert improper fractions to mixed numbers:

\frac{561}{20} = 28 \frac{1}{20}

\frac{561}{20} = 28

Remainder

1

\frac{561}{20}

Write the problem in long division format

20 \overline{∣ 561}

Divide

56

20

to get

2

Divide

56

20

to get

2

2 20 \overline{∣ 561}

Multiply the quotient digit

(2)

by the divisor

20

2 20 \overline{∣ 561} \underline{40}

Subtract

40

from

56

2 20 \overline{∣ 561} \underline{40} 16

Bring down the next number of the dividend

2 20 \overline{∣ 561} \underline{40} 161

2 20 \overline{∣ 561} \underline{40} 161

Divide

161

20

to get

8

Divide

161

20

to get

8

28 20 \overline{∣ 561} \underline{40} 161

Multiply the quotient digit

(8)

by the divisor

20

28 20 \overline{∣ 561} \underline{40} 161 \underline{160}

Subtract

160

from

161

28 20 \overline{∣ 561} \underline{40} 161 \underline{160} 1

28 20 \overline{∣ 561} \underline{40} 161 \underline{160} 1

The solution for Long Division of

\frac{561}{20}

28

with remainder of

1

28 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{561}{20} = 28 \frac{1}{20}

= 28 \frac{1}{20}

= 28 \frac{1}{20}

Popular Examples

8(3)^2+58(3)-21

(2×+5)(4× (-25))

7^2× 8^2

-18+[-4-(-5+8)-(-3+2)]

3(1)^2-4

Frequently Asked Questions (FAQ)

What is 4+7 2/5 × 3 1/4 ?
The solution to 4+7 2/5 × 3 1/4 is 28 1/20

4+7 2/5 × 3 1/4

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 4+7 2/5 × 3 1/4 ?

Popular topics