Converting Mixed and Improper Fractions

Converting Mixed and Improper Fractions

Multiple Choice

After a hurricane, the water level of a river was 17 ¹⁵/₂₀ feet. This was

3 ⁴/₂₀ feet above the flood stage for the river. What is the flood stage for the river?

• 20 ¹⁹/₂₀ feet

• 20 ¹¹/₂₀ feet

• 14 ¹⁹/₂₀ feet

• 14 ¹¹/₂₀ feet

3 Types of Fractions

• Proper Fraction - a fraction LESS than one whole; the numerator is LESS than the denominator.

• Improper Fraction - a fraction that is EQUAL TO or GREATER than one whole; the numerator is the SAME or GREATER than the denominator.

• Mixed Number - a whole number accompanied by a proper fraction

Converting Mixed Numbers to Improper Fractions

• Multiply the denominator by the whole number

• Add the product to the numerator

• Denominator stays the same

Multiple Choice

Write the mixed number as an improper fraction.

1 ³/₅ =

• ⁸/₅

• ¹³/₅

• ⁹/₅

• ¹⁸/₅

Multiple Choice

Write the mixed number as an improper fraction.

3 ³/₅

• ¹⁸/₅

• ¹⁸/₃

• ¹⁸/₂

• ³³/₅

Multiple Choice

Write the mixed number as an improper fraction.

5 ¹/₃ =

• ¹⁶/₃

• ⁵¹/₃

• ⁸/₃

• ⁹/₅

Multiple Choice

Write the mixed number as an improper fraction.

2 ³/₄ =

• ¹¹/₄

• ²³/₄

• ¹¹/₃

• ⁹/₄

Multiple Choice

Write the mixed number as an improper fraction.

7 ⁹/₁₂ =

• ⁹³/₁₂

• ⁸⁴/₁₂

• ¹⁷¹/₁₂

• ⁷⁵/₁₂

Multiple Choice

Write the mixed number as an improper fraction.

23 ¹¹/₁₇ =

• ⁴¹/₁₇

• ⁴⁵¹/₁₇

• ³⁹¹/₁₇

• ⁴⁰²/₁₇

Converting Improper Fractions to Mixed Numbers

• ​Divide the numerator by the denominator

​

• Quotient is the whole; Remainder is the numerator

​

• ​​Denominator stays the same

​

Multiple Choice

Write the improper fraction as a mixed number in simplest form.

¹³/₂ =

• 6 ¹/₂

• 6 ¹/₃

• 6 ²/₁₃

• 6 ¹/₁₃

Multiple Choice

Write the improper fraction as a mixed number in simplest form.

¹⁵/₄ =

• 3 ³/₄

• 1 ⁶/₉

• 3 ⁴/₁₅

• 1 ⁴/₅

Multiple Choice

Write the improper fraction as a mixed number in simplest form.

²⁵/₃ =

• 8 ¹/₃

• 8 ³/₂₅

• 7 ⁵/₇

• 2 ⁵/₈

Multiple Choice

Write the improper fraction as a mixed number in simplest form.

⁷/₃ =

• 2 ¹/₃

• 1 ³/₇

• 2 ³/₇

• 1 ⁴/₃

Multiple Choice

Write the improper fraction as a mixed number in simplest form.

¹⁰/₃ =

• 3 ¹/₃

• 2 ³/₂

• ³/₁₀

• 3 ²/₃

Multiple Choice

Write the improper fraction as a mixed number in simplest form.

⁵/₄ =

• 1 ¹/₃

• 1 ¹/₄

• 3 ¹/₃

• 3 ¹/₄

Multiple Choice

Write the improper fraction as a mixed number in simplest form.***

¹⁴/_{6 =}

• 1 ⁶/₈

• 2 ¹/₃

• 2 ¹/₆

• 1 ⁴/₆

Multiple Select

An art teacher mixed 3/4 cups of blue paint with 2/3 cups of red paint to make purple paint. How many cups of purple paint did the art teacher make? Select 2 answers.

• $$\frac{5}{12}$$  

• $$\frac{17}{12}$$  

• $$\frac{15}{12}$$  

• $$1\ \frac{5}{12}$$  

• $$1\ \frac{3}{12}$$  

Multiple Select

Mary jogged 3/4 of a mile from her house to the post office. She then jogged 6/8 of a mile to her gym. Which shows the total number of miles Mary jogged?

          Choose three from the selections below.

• $$\frac{3}{2}$$  

• $$\frac{3}{4}$$  

• $$\frac{12}{8}$$  

• $$1\ \frac{2}{3}$$  

• $$1\ \frac{1}{2}$$