Adding and Subtracting up to 100
Addition and Subtraction up to 1000
Least Common Multiple
Divisibility by 2, 3, 4, 5, 9
Fraction Addition and Subtraction
Mixed Numbers
Fraction Multiplication and Division
Fraction Calculation
Polynomial Simplification
Equations
Parametric Linear Equations
Word Problems
Exponentiation
Roots
Quadratic Equations
Vieta's Formulas
Logarithmic Equations
Arithmetic Progressions
Geometric Progression
Progressions
Number Sequences
Reciprocal Equations
Extremal value problems
Trigonometry
Probability
Properties of Triangles
Simple polygon area
Intercept Theorem
Pythagorean Theorem
Law of Sines
Law of Cosines
Inverse Trigonometric Functions
Analytic Geometry

easy

Adding and Subtracting Mixed Numbers - easy

Submit a problem here.

Attention:
Acceptable answers are only fractions not mixed numbers.

Problem №1

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

Solution:
$1\frac{1}{4} + 1\frac{3}{4} = (1+1) + ( \frac{1}{4} + \frac{3}{4} ) = 2 + \frac{4}{4} = 2 + 1 = 3$

Problem №2

$2\frac{3}{10} + 1\frac{7}{10} = ?$

Solution:
$2\frac{3}{10} + 1\frac{7}{10} = (2 + 1) + ( \frac{3}{10} + \frac{7}{10} ) = 3 + \frac{10}{10} = 3 + 1 = 4$

Problem №3

$4\frac{9}{10} - 2\frac{1}{10} = ?$

Solution:
$4\frac{9}{10} - 2\frac{1}{10} = (4 - 2) + ( \frac{9}{10} - \frac{1}{10} ) = 2 + (\frac{8}{10}) = 2 + \frac{4}{5} = \frac{10+4}{5} = \frac{14}{5}$

Problem №4

$4\frac{3}{8} - 3\frac{1}{8} = ?$

Solution:
$4\frac{3}{8} - 3\frac{1}{8} = (4 - 3) + ( \frac{3}{8} - \frac{1}{8} ) = 1 + \frac{2}{8} = 1 + \frac{1}{4} = \frac{4+1}{4} = \frac{5}{4}$

Problem №5

$2\frac{5}{11} + 3\frac{6}{11} = ?$

Solution:
$2\frac{5}{11} + 3\frac{6}{11} = (2 + 3) + (\frac{5}{11} + \frac{6}{11}) = 5 + \frac{11}{11} = 5 + 1 = 6$

Problem №6

$1\frac{7}{12} + 2\frac{5}{12} = ?$

Solution:
$1\frac{7}{12} + 2\frac{5}{12} = (1 + 2) + (\frac{7}{12} + \frac{5}{12}) = 3 + \frac{12}{12} = 3 + 1 = 4$

Problem №7

$3\frac{3}{11} - 2\frac{5}{11} = ?$

Solution:
$3\frac{3}{11} - 2\frac{5}{11} = (3 - 2) + (\frac{3}{11} - \frac{5}{11}) = 1 + \frac{3 - 5}{11} = 1 + (\frac{-2}{11}) = \frac{11 - 2}{11} = \frac{9}{11}$

Problem №8

$2\frac{4}{15} - 1\frac{7}{15} = ?$

Solution:
$2\frac{4}{15} - 1\frac{7}{15} = (2 - 1) + (\frac{4}{15} - \frac{7}{15}) = 1 + \frac{4-7}{15} = 1 + (\frac{-3}{15}) = 1 - \frac{1}{5} = \frac{5 - 1}{5} = \frac{4}{5}$

Problem №9

$5\frac{1}{3} + 4\frac{1}{3} = ?$

Solution:
$5\frac{1}{3} + 4\frac{1}{3} = (5 + 4) + (\frac{1}{3} + \frac{1}{3}) = 9 + \frac{1 + 1}{3} = 9 + \frac{2}{3} = \frac{27 + 2}{3} = \frac{29}{3}$

Problem №10

$2\frac{2}{3} + 4\frac{2}{3} = ?$

Solution:
$2\frac{2}{3} + 4\frac{2}{3} = (2 + 4) + (\frac{2}{3} + \frac{2}{3}) = 6 + \frac{4}{3} = \frac{18 + 4}{3} = \frac{22}{3}$

Problem №11

$3\frac{4}{9} - 1\frac{2}{9} = ?$

Solution:
$3\frac{4}{9} - 1\frac{2}{9} = (3 - 1) + (\frac{4}{9} - \frac{2}{9}) = 2 + \frac{2}{9} = \frac{18 + 2}{9} = \frac{20}{9}$

Problem №12

$4\frac{1}{5} - 3\frac{3}{5} = ?$

Solution:
$4\frac{1}{5} - 3\frac{3}{5} = (4 - 3) + (\frac{1}{5} - \frac{3}{5}) = 1 + (\frac{1-3}{5}) = 1 + \frac{-2}{5} = \frac{5 - 2}{5} = \frac{3}{5}$

Problem №13

$3\frac{2}{3} - 2\frac{1}{3} = ?$

Solution:
$3\frac{2}{3} - 2\frac{1}{3} = (3 - 2) + \frac{2}{3} - \frac{1}{3} = 1 + \frac{2 - 1}{3} = 1 + \frac{1}{3} = \frac{3 + 1}{3} = \frac{4}{3}$

Problem №14

$5\frac{1}{2} + 1\frac{1}{2} = ?$

Solution:
$5\frac{1}{2} + 1\frac{1}{2} = (5 + 1) + \frac{1}{2} + \frac{1}{2} = 6 + \frac{2}{2} = 6 + 1 = 7$

Problem №15

$2\frac{5}{6} - 2\frac{1}{6} = ?$

Solution:
$2\frac{5}{6} - 2\frac{1}{6} = (2 - 2) + \frac{5}{6} - \frac{1}{6} = 0 + \frac{5 - 1}{6} = \frac{4}{6} = \frac{2}{3}$

Problem №16

$2\frac{5}{9} + 2\frac{4}{9} = ?$

Solution:
$2\frac{5}{9} + 2\frac{4}{9} = (2 + 2) + \frac{5}{9} + \frac{4}{9} = 4 + \frac{5 + 4}{9} = 4 + \frac{9}{9} = 4 + 1 = 5$

Problem №17

$4\frac{2}{7} - 2\frac{5}{7} = ?$

Solution:
$4\frac{2}{7} - 2\frac{5}{7} = (4 - 2) + \frac{2}{7} - \frac{5}{7} = 2 + (\frac{-3}{7}) = \frac{14 - 3}{7} = \frac{11}{7}$

Problem №18

$1\frac{2}{8} + 3\frac{3}{8} = ?$

Solution:
$1\frac{2}{8} + 3\frac{3}{8} = (1 + 3) + (\frac{2}{8} + \frac{3}{8}) = 4 + \frac{5}{8} = \frac{32 + 5}{8} = \frac{37}{8}$

Problem №19

$2\frac{3}{6} + 2\frac{5}{6} = ?$

Solution:
$2\frac{3}{6} + 2\frac{5}{6} = (2 + 2) + (\frac{3}{6} + \frac{5}{6}) = 4 + \frac{8}{6} = 4 + \frac{4}{3} = \frac{12 + 4}{3} = \frac{16}{3}$

Problem №20

$2\frac{7}{20} - 1\frac{3}{20} = ?$

Solution:
$2\frac{7}{20} - 1\frac{3}{20} = (2 - 1) + (\frac{7}{20} - {3}{20}) = 1 + \frac{7-3}{20} = 1 + \frac{4}{20} = 1 + \frac{1}{5} = \frac{5 + 1}{5} = \frac{6}{5}$

Submit a problem here.

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