Decimals Greater than 1 as Fractions — Let's Practice!

Decimals Greater than 1 as Fractions — Let's Practice! exercise

• Match the decimal to a fraction.

  Hints

  Write each place value as a fraction.

  After you write each place value as a fraction, multiply the numerator and denominator so every denominator equals 100. Add the numerators together.

  Solution

  Write each place value as a fraction.

  • For example: 1.67 = $\frac{1}{1}$ + $\frac{6}{10}$ + $\frac{7}{100}$

  After you write each place value as a fraction, multiply the numerator and denominator so every denominator equals 100.

  • For example: 1.67 = $\frac{100}{100}$ + $\frac{60}{10}$ + $\frac{7}{100}$

  When you add all of the numerators, you find the equal fraction.

  • For example: 1.67 = $\frac{167}{100}$

• True or False?

  Hints

  Write each place value as a fraction.

  Multiply the fractions so they all have a common denominator. Add the numerators together.

  Solution

  When you write each place value as a fraction and find the common denominator, you can convert the decimal to a fraction.

• Write the numerator to solve the equation

  Hints

  Write each place value as a fraction.

  Multiply the fractions so they all have a common denominator, 100. Add the numerators together.

  Solution

  When you write each place value as a fraction and find the common denominator, 100, you can convert the decimal to a fraction. Add the numerators together and you get 547.

• Convert the fraction into a decimal.

  Hints

  Write each place value as a fraction. When you divide 26 by 10, the 2 is in the ones place and the 6 is in the tens place.

  For example, $\frac{26}{10}$ converts to 2.6.

  Solution

  $\frac{26}{10}$ = 2.6
  $\frac{58}{10}$ = 5.8
  $\frac{44}{10}$ = 4.4
  $\frac{97}{10}$ = 9.7

• Match the fraction to the correct decimal.

  Hints

  Write each place value as a fraction. Make sure to check the tenths and hundredths place.

  Multiply the fractions so they all have a common denominator. Add the numerators together.

  Solution

  When you write each place value as a fraction and find the common denominator, you can convert the decimal to a fraction.

• True or False?

  Hints

  Use the chart to help you. Create fractions for each place value. The next place value after hundredths is thousandths, so the fraction that represents the 9 in the thousandths place is $\frac{9}{1000}$.

  The common denominator is 1000. Add the numerators together.

  Solution

  True. When you convert the decimals into fractions, find the common denominator, and add the numerators together you find that $\frac{2369}{1000}$ = 2.369