Testinar Grade 4 math

Fractions with Denominators 10 and 100

Students will express fractions with denominators of 10 and 100 as equivalent fractions and connect tenths to hundredths.

CH06-01 Decimal Fractions
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. Which fraction with denominator \(100\) is equivalent to \(\frac{3}{10}\)?

    1. \(\frac{3}{100}\)
    2. \(\frac{13}{100}\)
    3. \(\frac{30}{100}\)
    4. \(\frac{33}{100}\)

  2. What is \(\frac{7}{10}\) written as a fraction with denominator \(100\)?

    1. \(\frac{7}{100}\)
    2. \(\frac{70}{100}\)
    3. \(\frac{17}{100}\)
    4. \(\frac{77}{100}\)

  3. Which fraction equals \(\frac{50}{100}\)?

    1. \(\frac{1}{10}\)
    2. \(\frac{5}{10}\)
    3. \(\frac{50}{10}\)
    4. \(\frac{10}{100}\)

  4. What is \(\frac{4}{10}\) as a fraction with denominator \(100\)?

    1. \(\frac{4}{100}\)
    2. \(\frac{14}{100}\)
    3. \(\frac{40}{100}\)
    4. \(\frac{44}{100}\)

  5. Which number sentence is true?

    1. \(\frac{2}{10}=\frac{20}{100}\)
    2. \(\frac{2}{10}=\frac{2}{100}\)
    3. \(\frac{2}{10}=\frac{12}{100}\)
    4. \(\frac{2}{10}=\frac{100}{2}\)

  6. What is \(\frac{9}{10}\) written as a fraction with denominator \(100\)?

    1. \(\frac{9}{100}\)
    2. \(\frac{19}{100}\)
    3. \(\frac{90}{100}\)
    4. \(\frac{99}{100}\)

  7. Add: \(\frac{3}{10}+\frac{5}{100}\).

    1. \(\frac{8}{100}\)
    2. \(\frac{8}{110}\)
    3. \(\frac{35}{100}\)
    4. \(\frac{80}{100}\)

  8. Which is equal to \(\frac{6}{10}\)?

    1. \(\frac{60}{10}\)
    2. \(\frac{60}{100}\)
    3. \(\frac{16}{100}\)
    4. \(\frac{6}{100}\)
Teacher and parent reference

Answer key and explanations

  1. C. \(\frac{30}{100}\)

    To write \(\frac{3}{10}\) as hundredths, multiply the numerator and denominator by \(10\): \(\frac{3}{10}=\frac{3\times10}{10\times10}=\frac{30}{100}\).

  2. B. \(\frac{70}{100}\)

    Let's convert \(\frac{7}{10}\) to a fraction with denominator 100 by multiplying: \(\frac{7}{10}=\frac{7\times10}{10\times10}=\frac{70}{100}\).

  3. B. \(\frac{5}{10}\)

    Both fractions represent the same amount---one-half. We can write it as \(\frac{50}{100}=\frac{5}{10}\).

  4. C. \(\frac{40}{100}\)

    To convert \(\frac{4}{10}\) to hundredths, multiply both the numerator and denominator by \(10\): \(\frac{4}{10}=\frac{40}{100}\).

  5. A. \(\frac{2}{10}=\frac{20}{100}\)

    When we convert \(\frac{2}{10}\) to hundredths, we multiply both numerator and denominator by \(10\): \(\frac{2\times10}{10\times10}=\frac{20}{100}\).

  6. C. \(\frac{90}{100}\)

    To convert \(\frac{9}{10}\) to hundredths, we multiply both parts by \(10\): \(\frac{9}{10}=\frac{9\times10}{10\times10}=\frac{90}{100}\).

  7. C. \(\frac{35}{100}\)

    First, convert \(\frac{3}{10}\) to hundredths: \(\frac{3}{10}=\frac{30}{100}\). Now both fractions have the same denominator, so we add: \(\frac{30}{100}+\frac{5}{100}=\frac{35}{100}\).

  8. B. \(\frac{60}{100}\)

    To convert \(\frac{6}{10}\), multiply numerator and denominator by \(10\): \(\frac{6}{10}=\frac{6\times10}{10\times10}=\frac{60}{100}\).

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