Solve 2 1/4 + ((6 1/5) / (4/5)) + (3 1/7 * of * 2/11) / (1 3/7) | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2\frac{1}{4}+(6\frac{1}{5}\div\frac{4}{5})+(3\frac{1}{7}of\frac{2}{11})\div1\frac{3}{7}$$

Evaluate

$\frac{2fo}{5}+10$

Solution Steps

Multiply $2$ and $4$ to get $8$.

$$\frac{8+1}{4}+\frac{\frac{6\times 5+1}{5}}{\frac{4}{5}}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Add $8$ and $1$ to get $9$.

$$\frac{9}{4}+\frac{\frac{6\times 5+1}{5}}{\frac{4}{5}}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Divide $\frac{6\times 5+1}{5}$ by $\frac{4}{5}$ by multiplying $\frac{6\times 5+1}{5}$ by the reciprocal of $\frac{4}{5}$.

$$\frac{9}{4}+\frac{\left(6\times 5+1\right)\times 5}{5\times 4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Cancel out $5$ in both numerator and denominator.

$$\frac{9}{4}+\frac{1+5\times 6}{4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Multiply $5$ and $6$ to get $30$.

$$\frac{9}{4}+\frac{1+30}{4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Add $1$ and $30$ to get $31$.

$$\frac{9}{4}+\frac{31}{4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Since $\frac{9}{4}$ and $\frac{31}{4}$ have the same denominator, add them by adding their numerators.

$$\frac{9+31}{4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Add $9$ and $31$ to get $40$.

$$\frac{40}{4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Divide $40$ by $4$ to get $10$.

$$10+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Multiply $3$ and $7$ to get $21$.

$$10+\frac{\frac{21+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Add $21$ and $1$ to get $22$.

$$10+\frac{\frac{22}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Multiply $\frac{22}{7}$ times $\frac{2}{11}$ by multiplying numerator times numerator and denominator times denominator.

$$10+\frac{\frac{22\times 2}{7\times 11}of}{\frac{1\times 7+3}{7}}$$

Do the multiplications in the fraction $\frac{22\times 2}{7\times 11}$.

$$10+\frac{\frac{44}{77}of}{\frac{1\times 7+3}{7}}$$

Reduce the fraction $\frac{44}{77}$ to lowest terms by extracting and canceling out $11$.

$$10+\frac{\frac{4}{7}of}{\frac{1\times 7+3}{7}}$$

Multiply $1$ and $7$ to get $7$.

$$10+\frac{\frac{4}{7}of}{\frac{7+3}{7}}$$

Add $7$ and $3$ to get $10$.

$$10+\frac{\frac{4}{7}of}{\frac{10}{7}}$$

Divide $\frac{4}{7}of$ by $\frac{10}{7}$ by multiplying $\frac{4}{7}of$ by the reciprocal of $\frac{10}{7}$.

$$10+\frac{\frac{4}{7}of\times 7}{10}$$

Cancel out $7$ and $7$.

$$10+\frac{4of}{10}$$

Divide $4of$ by $10$ to get $\frac{2}{5}of$.

$$10+\frac{2}{5}of$$

Expand

$\frac{2fo}{5}+10$

Solution Steps

Multiply $2$ and $4$ to get $8$.

$$\frac{8+1}{4}+\frac{\frac{6\times 5+1}{5}}{\frac{4}{5}}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Add $8$ and $1$ to get $9$.

$$\frac{9}{4}+\frac{\frac{6\times 5+1}{5}}{\frac{4}{5}}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Divide $\frac{6\times 5+1}{5}$ by $\frac{4}{5}$ by multiplying $\frac{6\times 5+1}{5}$ by the reciprocal of $\frac{4}{5}$.

$$\frac{9}{4}+\frac{\left(6\times 5+1\right)\times 5}{5\times 4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Cancel out $5$ in both numerator and denominator.

$$\frac{9}{4}+\frac{1+5\times 6}{4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Multiply $5$ and $6$ to get $30$.

$$\frac{9}{4}+\frac{1+30}{4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Add $1$ and $30$ to get $31$.

$$\frac{9}{4}+\frac{31}{4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Since $\frac{9}{4}$ and $\frac{31}{4}$ have the same denominator, add them by adding their numerators.

$$\frac{9+31}{4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Add $9$ and $31$ to get $40$.

$$\frac{40}{4}+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Divide $40$ by $4$ to get $10$.

$$10+\frac{\frac{3\times 7+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Multiply $3$ and $7$ to get $21$.

$$10+\frac{\frac{21+1}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Add $21$ and $1$ to get $22$.

$$10+\frac{\frac{22}{7}of\times \frac{2}{11}}{\frac{1\times 7+3}{7}}$$

Multiply $\frac{22}{7}$ times $\frac{2}{11}$ by multiplying numerator times numerator and denominator times denominator.

$$10+\frac{\frac{22\times 2}{7\times 11}of}{\frac{1\times 7+3}{7}}$$

Do the multiplications in the fraction $\frac{22\times 2}{7\times 11}$.

$$10+\frac{\frac{44}{77}of}{\frac{1\times 7+3}{7}}$$

Reduce the fraction $\frac{44}{77}$ to lowest terms by extracting and canceling out $11$.

$$10+\frac{\frac{4}{7}of}{\frac{1\times 7+3}{7}}$$

Multiply $1$ and $7$ to get $7$.

$$10+\frac{\frac{4}{7}of}{\frac{7+3}{7}}$$

Add $7$ and $3$ to get $10$.

$$10+\frac{\frac{4}{7}of}{\frac{10}{7}}$$

Divide $\frac{4}{7}of$ by $\frac{10}{7}$ by multiplying $\frac{4}{7}of$ by the reciprocal of $\frac{10}{7}$.

$$10+\frac{\frac{4}{7}of\times 7}{10}$$

Cancel out $7$ and $7$.

$$10+\frac{4of}{10}$$

Divide $4of$ by $10$ to get $\frac{2}{5}of$.

$$10+\frac{2}{5}of$$