Back to Exercise: Understand a fraction a/b with a > 1 as a sum of fractions 1/b

Exercises: Fractions as Sums of Unit Fractions

Work through each section in order. Show your work where indicated, and write equations
for word problems.

Grade 4·22 problems·~32 min·Common Core Math - Grade 4·standard·4-nf-b-3

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Recall / Warm-Up

In the fraction $\frac{3}{8}$ , what does the denominator (8) tell you?

The number of equal parts the whole is divided into

How many of those parts you have

The value of the whole fraction

The size of the numerator

What is $27 + 15$ ?

On a number line from 0 to 1 partitioned into 4 equal parts, which mark shows $\frac{2}{4}$ ?

The 2nd mark from 0

The 4th mark from 0

The 1st mark from 0

The mark labeled 1

Fluency Practice

Write $\frac{4}{5}$ as a sum of unit fractions: $\frac{4}{5} = $ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ + ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ + ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ + ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .

first addend:

second addend:

third addend:

fourth addend:

What is $\frac{2}{6} + \frac{3}{6}$ ?

What is $\frac{7}{10} - \frac{4}{10}$ ?

What is $\frac{5}{8} + \frac{6}{8}$ ? Write your answer as a mixed number.

$\frac{2}{5} + \frac{\hspace{0.2em}\fbox{\phantom{000000}}\hspace{0.2em}}{5} = \frac{4}{5}$ . What is the missing numerator?

missing numerator:

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