Adding and Subtracting Fractions

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Questions and Answers

Match the following fraction operations with the correct first step:

Addition of $\frac{1}{4} + \frac{3}{8}$ = Find a common denominator Subtraction of $\frac{9}{10} - \frac{2}{5}$ = Find a common denominator Simplifying $\frac{8}{10}$ = Find the greatest common factor Butterfly Method on $\frac{1}{4} + \frac{3}{8}$ = Multiply diagonally to find new numerators

Match each fraction addition problem with its equivalent problem after finding a common denominator:

$\frac{1}{6} + \frac{3}{4}$ = $\frac{2}{12} + \frac{9}{12}$ $\frac{3}{5} + \frac{1}{4}$ = $\frac{12}{20} + \frac{5}{20}$ $\frac{5}{12} + \frac{1}{3}$ = $\frac{5}{12} + \frac{4}{12}$ $\frac{1}{4} + \frac{3}{8}$ = $\frac{2}{8} + \frac{3}{8}$

Match each fraction subtraction problem with its equivalent problem after finding a common denominator:

$\frac{3}{4} - \frac{1}{8}$ = $\frac{6}{8} - \frac{1}{8}$ $\frac{9}{10} - \frac{1}{4}$ = $\frac{18}{20} - \frac{5}{20}$ $\frac{2}{3} - \frac{1}{5}$ = $\frac{10}{15} - \frac{3}{15}$ $\frac{9}{10} - \frac{2}{5}$ = $\frac{9}{10} - \frac{4}{10}$

Match each fraction with its simplest form:

$\frac{4}{10}$ = $\frac{2}{5}$ $\frac{8}{12}$ = $\frac{2}{3}$ $\frac{12}{20}$ = $\frac{3}{5}$ $\frac{6}{18}$ = $\frac{1}{3}$ Signup and view all the answers

Match each fraction addition problem with its correct sum:

$\frac{5}{12} + \frac{1}{3}$ = $\frac{3}{4}$ $\frac{1}{6} + \frac{3}{4}$ = $\frac{11}{12}$ $\frac{3}{5} + \frac{1}{4}$ = $\frac{17}{20}$ $\frac{1}{4} + \frac{3}{8}$ = $\frac{5}{8}$ Signup and view all the answers

Match each fraction subtraction problem with its correct difference:

$\frac{3}{4} - \frac{1}{8}$ = $\frac{5}{8}$ $\frac{9}{10} - \frac{1}{4}$ = $\frac{13}{20}$ $\frac{2}{3} - \frac{1}{5}$ = $\frac{7}{15}$ $\frac{9}{10} - \frac{2}{5}$ = $\frac{1}{2}$ Signup and view all the answers

Match the following fractions to a value closest to them:

$\frac{3}{5}$ = 0.6 $\frac{1}{8}$ = 0.125 $\frac{17}{20}$ = 0.85 $\frac{11}{12}$ = 0.916 Signup and view all the answers

Match the word problems to the numerical expression that solves:

Malia bought shell beads and glass beads to weave into designs in her baskets. She bought $\frac{1}{4}$ pound of shell beads and $\frac{3}{8}$ pound of glass beads. How many pounds of beads did she buy? = $\frac{1}{4} + \frac{3}{8}$ Jennifer had a $\frac{9}{10}$ foot board. She cut off a $\frac{2}{5}$ foot piece that was for a project. In feet, how much of the board was left? = $\frac{9}{10} - \frac{2}{5}$ How much more is $\frac{3}{5}$ than $\frac{1}{4}$ ? = $\frac{3}{5} - \frac{1}{4}$ What is the total of $\frac{1}{6}$ and $\frac{3}{4}$? = $\frac{1}{6} + \frac{3}{4}$ Signup and view all the answers

Match each fraction with its decimal value:

$\frac{1}{2}$ = 0.5 $\frac{1}{4}$ = 0.25 $\frac{3}{4}$ = 0.75 $\frac{1}{5}$ = 0.2 Signup and view all the answers

Match the description to whether it pertains to adding or subtracting fractions:

Increase in total quantity. = Addition Decrease in original quantity. = Subtraction Combining two amounts. = Addition Finding the remainder. = Subtraction Signup and view all the answers

Match each fraction with its reciprocal:

$\frac{2}{3}$ = $\frac{3}{2}$ $\frac{1}{5}$ = 5 $\frac{7}{4}$ = $\frac{4}{7}$ $\frac{11}{8}$ = $\frac{8}{11}$ Signup and view all the answers

Match the common denominator to the pair of fractions:

$\frac{2}{3}$, $\frac{1}{4}$ = 12 $\frac{1}{5}$, $\frac{1}{2}$ = 10 $\frac{3}{4}$, $\frac{5}{6}$ = 12 $\frac{7}{10}$, $\frac{2}{5}$ = 10 Signup and view all the answers

Match the fractions subtraction problems where the result is equal to $\frac{1}{4}$:

$\frac{3}{4} - \frac{1}{2}$ = $\frac{1}{4}$ $\frac{1}{2} - \frac{1}{4}$ = $\frac{1}{4}$ $\frac{5}{8} - \frac{3}{8}$ = $\frac{1}{4}$ $\frac{7}{12} - \frac{1}{3}$ = $\frac{1}{4}$ Signup and view all the answers

Match the fractions addition problems where the result is equal to $\frac{1}{2}$:

$\frac{1}{4} + \frac{1}{4}$ = $\frac{1}{2}$ $\frac{1}{3} + \frac{1}{6}$ = $\frac{1}{2}$ $\frac{1}{5} + \frac{3}{10}$ = $\frac{1}{2}$ $\frac{1}{8} + \frac{3}{8}$ = $\frac{1}{2}$ Signup and view all the answers

Match the descriptions to why fractions are in simplest form:

Numerator is 1. = No common factors Numerator and denominator are coprime. = No common factors There are no common factors between numerator and denominator. = No common factors Greatest divisible factor is 1. = No common factors Signup and view all the answers

Match the missing steps to solve the following addition fractions problem. $\frac{1}{6} + \frac{3}{4}$

Step 1 = Find the lowest common denominator 12. Step 2 = $\frac{1}{6} = \frac{2}{12}$ and $\frac{3}{4} = \frac{9}{12}$ Step 3 = Add the fractions: $\frac{2}{12} + \frac{9}{12}$ Step 4 = The result is $\frac{11}{12}$ Signup and view all the answers

Match the missing steps to solve the following subtraction fractions problem. $\frac{2}{3} - \frac{1}{5}$

Step 1 = Find the lowest common denominator 15. Step 2 = $\frac{2}{3} = \frac{10}{15}$ and $\frac{1}{5} = \frac{3}{15}$ Step 3 = Subtract the fractions: $\frac{10}{15} - \frac{3}{15}$ Step 4 = The result is $\frac{7}{15}$ Signup and view all the answers

Match the missing steps to simply the following fraction $\frac{12}{20}$

Step 1 = Find the greatest common divisor of 12 and 20. In this case, it's 4. Step 2 = Divide both 12 and 20 by 4. Step 3 = 12 ÷ 4 = 3. Step 4 = 20 ÷ 4 = 5. Signup and view all the answers

Match each fraction with another fraction that is NOT equivalent to it:

$\frac{2}{3}$ = $\frac{3}{5}$ $\frac{1}{4}$ = $\frac{2}{6}$ $\frac{7}{10}$ = $\frac{3}{4}$ $\frac{6}{8}$ = $\frac{1}{2}$ Signup and view all the answers

Match the fractions that are equal to the same value when in simplest form:

$\frac{4}{6}$ = $\frac{10}{15}$ $\frac{2}{8}$ = $\frac{3}{12}$ $\frac{6}{10}$ = $\frac{15}{25}$ $\frac{8}{12}$ = $\frac{12}{18}$ Signup and view all the answers

Match each fraction with its result when the 'Butterfly Method' is applied to add $\frac{1}{4} + fraction$:

$\frac{1}{4} + \frac{1}{8}$ = $\frac{12}{32}$ $\frac{1}{4} + \frac{1}{2}$ = $\frac{6}{8}$ $\frac{1}{4} + \frac{3}{8}$ = $\frac{20}{32}$ $\frac{1}{4} + \frac{1}{3}$ = $\frac{7}{12}$ Signup and view all the answers

Match each fraction to its simplest calculation to solve using common denominators:

$\frac{2}{5} + \frac{1}{3}$ = $\frac{6}{15} + \frac{5}{15}$ $\frac{3}{4} - \frac{1}{5}$ = $\frac{15}{20} - \frac{4}{20}$ $\frac{1}{2} + \frac{1}{6}$ = $\frac{3}{6} + \frac{1}{6}$ $\frac{2}{3} - \frac{1}{4}$ = $\frac{8}{12} - \frac{3}{12}$ Signup and view all the answers

Match the following equivalent calculations:

Adding unlike fractions = Finding a common denominator and adding the equivalent fractions. Subtracting unlike fractions = Finding a common denominator and subtracting the equivalent fractions. Adding and subtracting fractions = Both require equivalent fractions due to common denominators. Simplifying fractions = Dividing numerator and denominator by common factors. Signup and view all the answers

Match the description to whether it pertains to equal or unequal fractions.

Denominators are the same = Equal Denominators are different = Unequal Can add directly = Equal Must find common denominator to add or subtract = Unequal Signup and view all the answers

Pair up the following fractions so that in each pair one is greater and the other is smaller then $\frac{1}{2}$:

$\frac{2}{5}$ = $\frac{3}{5}$ $\frac{1}{3}$ = $\frac{3}{4}$ $\frac{1}{4}$ = $\frac{7}{10}$ $\frac{2}{6}$ = $\frac{5}{8}$ Signup and view all the answers

Match the common mistakes on either addition or subtraction.

Adding denominators together = Addition and subtraction Forgetting to find common denominator = Addition and subtraction Not simplifying = Addition and subtraction Improperly calculating common denominator = Addition and subtraction Signup and view all the answers

Match the descriptions to whether it follows to butterfly method or normal method:

Allows direct multiplication and addition by cross multiplying the numerator and denominator of the other fraction, then dividing it by the multiplication of the denominators. = Butterfly method Finding the lowest common factor. = Normal method Calculating diagonal multiplication. = Butterfly method After finding the greatest common factor, we subtract or add the numerators. = Normal method Signup and view all the answers

Flashcards

Unlike Denominators

Fractions with different denominators.

Adding fractions with unlike denominators

To add fractions, they need a common denominator.