4.10.1: Review Exercises

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    From LibreTexts, under CC BY 4.0, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    Review Exercises

    Visualize Fractions

    In the following exercises, name the fraction of each figure that is shaded.

    574.
    A circle is shown. It is divided into 8 equal pieces. 5 pieces are shaded.
    575.
    A square is shown. It is divided into 9 equal pieces. 5 pieces are shaded.

    In the following exercises, name the improper fractions. Then write each improper fraction as a mixed number.

    576.
    Two squares are shown. Both are divided into four equal pieces. The square on the left has all 4 pieces shaded. The square on the right has one piece shaded.
    577.
    Two circles are shown. Both are divided into two equal pieces. The circle on the left has both pieces shaded. The circle on the right has one piece shaded.

    In the following exercises, convert the improper fraction to a mixed number.

    578.

    579.

    In the following exercises, convert the mixed number to an improper fraction.

    580.

    581.

    582.

    Find three fractions equivalent to Show your work, using figures or algebra.

    583.

    Find three fractions equivalent to Show your work, using figures or algebra.

    In the following exercises, locate the numbers on a number line.

    584.

    585.

    In the following exercises, order each pair of numbers, using or

    586.

    587.

    Multiply and Divide Fractions

    In the following exercises, simplify.

    588.

    589.

    590.

    591.

    In the following exercises, multiply.

    592.

    593.

    594.

    595.

    596.

    597.

    In the following exercises, find the reciprocal.

    598.

    599.

    600.

    601.

    602.

    Fill in the chart.

    Opposite Absolute Value Reciprocal
         
         
         
         

    In the following exercises, divide.

    603.

    604.

    605.

    606.

    607.

    Multiply and Divide Mixed Numbers and Complex Fractions

    In the following exercises, perform the indicated operation.

    608.

    609.

    610.

    611.

    In the following exercises, translate the English phrase into an algebraic expression.

    612.

    the quotient of and

    613.

    the quotient of and the difference of and

    In the following exercises, simplify the complex fraction

    614.

    615.

    616.

    617.

    In the following exercises, simplify.

    618.

    619.

    620.

    Add and Subtract Fractions with Common Denominators

    In the following exercises, add.

    621.

    622.

    623.

    624.

    625.

    In the following exercises, subtract.

    626.

    627.

    628.

    629.

    630.

    631.

    Add and Subtract Fractions with Different Denominators

    In the following exercises, find the least common denominator.

    632.

    and

    633.

    and

    634.

    and

    635.

    and

    In the following exercises, change to equivalent fractions using the given LCD.

    636.

    and LCD

    637.

    and LCD

    638.

    and LCD

    639.

    and LCD

    In the following exercises, perform the indicated operations and simplify.

    640.

    641.

    642.

    643.

    644.

    645.

    646.

    647.

    648.

    649.

    650.

    In the following exercises, evaluate.

    651.

    when

    1. ⓐ
    2. ⓑ
    652.

    when and

    Add and Subtract Mixed Numbers

    In the following exercises, perform the indicated operation.

    653.

    654.

    655.

    656.

    657.

    658.

    659.

    660.

    Solve Equations with Fractions

    In the following exercises, determine whether the each number is a solution of the given equation.

    661.

    :

    1. ⓐ
    2. ⓑ
    3. ⓒ
    662.

    :

    1. ⓐ
    2. ⓑ
    3. ⓒ

    In the following exercises, solve the equation.

    663.

    664.

    665.

    666.

    667.

    In the following exercises, translate and solve.

    668.

    The sum of two-thirds and is

    669.

    The difference of and one-tenth is

    670.

    The quotient of and is

    671.

    Three-eighths of is

    4.10.1: Review Exercises is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by LibreTexts.