What is (6+1/3 (3))/(1+1/3) ?

The solution to (6+1/3 (3))/(1+1/3) is 5 1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Pre Algebra >

(6+1/3 (3))/(1+1/3)

Solution

\frac{6 + \frac{1}{3} ( 3 )}{1 + \frac{1}{3}}

Solution

5 \frac{1}{4}

Decimal

5.25

Solution steps

\frac{6 + \frac{1}{3} ( 3 )}{1 + \frac{1}{3}}

Solve

6 + \frac{1}{3} (3) : 7

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{3} (3) : 1

\frac{1}{3} (3)

Apply rule:

(a) = a

(3) = 3

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

Convert element to fraction:

3 = \frac{3}{1}

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

Cross-cancel common factor:

3

= 1

= 6 + 1

Add and subtract (left to right)

6 + 1 : 7

6 + 1

6 + 1 = 7

= 7

= 7

Solve

1 + \frac{1}{3} : \frac{4}{3}

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

1 + \frac{1}{3}

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

1 \cdot 3 + 1 = 4

1 \cdot 3 + 1

Multiply the numbers:

1 \cdot 3 = 3

= 3 + 1

Add the numbers:

3 + 1 = 4

= 4

= \frac{4}{3}

= \frac{4}{3}

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

Simplify

\frac{7}{\frac{4}{3}} : 5 \frac{1}{4}

Apply the fraction rule:

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

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

Multiply the numbers:

7 \cdot 3 = 21

= \frac{21}{4}

Convert improper fractions to mixed numbers:

\frac{21}{4} = 5 \frac{1}{4}

\frac{21}{4} = 5

Remainder

1

\frac{21}{4}

Write the problem in long division format

4 \overline{∣ 21}

Divide

21

4

to get

5

Divide

21

4

to get

5

5 4 \overline{∣ 21}

Multiply the quotient digit

(5)

by the divisor

4

5 4 \overline{∣ 21} \underline{20}

Subtract

20

from

21

5 4 \overline{∣ 21} \underline{20} 1

5 4 \overline{∣ 21} \underline{20} 1

The solution for Long Division of

\frac{21}{4}

5

with remainder of

1

5 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{21}{4} = 5 \frac{1}{4}

= 5 \frac{1}{4}

= 5 \frac{1}{4}

= 5 \frac{1}{4}

Popular Examples

2(0)+3(31/11)-(-1)

9*(12/3)^2

3+5+9-10-1+2

(100((3-1)+(2-1)+(1-1)))/(3(3-1))

(1-2)^3

Frequently Asked Questions (FAQ)

What is (6+1/3 (3))/(1+1/3) ?
The solution to (6+1/3 (3))/(1+1/3) is 5 1/4

Popular topics

imaginary number calculator ratio test calculator asymptote calculator remainder calculator linear approximation calculator rational equation calculator absolute value calculator riemann sum calculator acceleration calculator area between curves calculator domain and range calculator sequence calculator integration by parts calculator slope intercept form calculator eigenvector calculator trig identities calculator power series calculator transformation calculator hours calculator parabola calculator percentage calculator average rate of change calculator age calculator volume calculator chain rule calculator concavity calculator row echelon form calculator p value calculator end behavior calculator fourier transform calculator trinomial calculator factor by grouping calculator improper integral calculator rational number calculator multiplying polynomials calculator variable calculator pemdas calculator pythagorean theorem calculator function calculator u substitution calculator