Exam 6: Meanings for Fractions

Put these amounts in order, from smallest to largest: 0.03 0.0295 0.1 0.13999

Use diagrams to show that $\frac { 3 } { 4 }$ is the same as 3 ÷ 4. LABEL THE RELEVANT PARTS OF YOUR DIAGRAM AND EXPLAIN THE EQUIVALENCE.

What is the percent equivalent of each amount? A) $\frac { 12 } { 5 }$ B) 0.00035

Using a number line, show the two fractions $\frac { 7 } { 4 }$ and 1 $\frac { 6 } { 8 }$ are equivalent.

Which fraction is closer to 1-7/8 or 8/9?

For each of the following, obtain an estimate of the answer and write it in the blank. Use excellent number sense. Write enough to clearly explain how you thought about the problem. A) 68 $\frac { 3 } { 4 }$ ÷ 2 $\frac { 15 } { 16 }$ =___ B) 4 $\frac { 7 } { 16 }$ + 5 $\frac { 11 } { 12 }$ - 2 $\frac { 1 } { 8 }$ = ___ C) 301 ÷ $\frac { 7 } { 16 }$ = ___ D) the sum of $\frac { 11 } { 23 }$ , $\frac { 3 } { 27 }$ , and $\frac { 5 } { 16 }$

Shown below is $1 \frac { 3 } { 4 }$ yards of carpet. Sketch (fairly accurately) 1 yard of carpet and $3 \frac { 1 } { 3 }$ yards of carpet. If the piece of carpet shown sells for $28, how much should 9 yards cost?

A fraction a/b is close to 3/4 when three times the numerator is close to four times the denominator.

Make a drawing that shows 2 $\frac { 4 } { 5 }$ if the shape below is 1.

Put these fractions in order, from smallest to largest, using the symbols <, >, and =. $\frac { 15 } { 19 } \frac { 300 } { 400 } \frac { 11 } { 16 } \frac { 300 } { 401 } \frac { 3 } { 8 } \frac { 6 } { 8 }$

A child says, "My teacher says to put = between $\frac { 3 } { 4 }$ and $\frac { 6 } { 8 }$ , but I think $\frac { 6 } { 8 }$ is bigger." How might the child be thinking? What would you do next?

Use the part-whole notion of fractions to explain why $\frac { 7 } { 13 } < \frac { 7 } { 12 }$

Which fraction is larger, 38/48 or 47/60? Explain without using decimals or common denominators.

A) What are the "rational" numbers? B) How are they different from the "irrational" numbers?

Which diagram does NOT show fourths. Explain why not.

Given $\frac { 50 } { 10 }$ and $\frac { 53 } { 13 }$ , why are we able to "cancel" the zeros in $\frac { 50 } { 10 }$ but not able to "cancel" the 3s in $\frac { 53 } { 13 }$ ?

Which fraction is closer to 1/2-1/8 or 1/9?

Name good fraction benchmarks for the following percents: A) 48% B) 165% C) 9%

How would you convince a child with visual evidence that $\frac { 1 } { 2 } = \frac { 6 } { 12 }$ ?

If the heart-shaped cookies shown are 3/4 of the cookies in a package, how many cookies in all are there in the package?