Exam 6: Meanings for Fractions

Why is 2/3 a better benchmark than 1 for answering the question: which is larger-23/30 or 17/21? (You do not have to answer the second question.)

A fraction is close to 1/2 when the numerator is close to two times the denominator.

As a decimal, 1.775% is:

Write each decimal amount in the $\frac { \text { whole \# } } { \text { whole \# } }$ form if possible. If it is not possible, explain why not. A) 9.6534 = _________ B) 96.65 $\overline{34}$ = ________

Use drawings with rectangles to show that A) $\frac { 5 } { 8 } > \frac { 7 } { 16 }$ B) $\frac { 3 } { 4 } > \frac { 2 } { 3 }$ C) $1 \frac { 3 } { 4 } > \frac { 6 } { 4 }$

Three-eighteenths can be written as a terminating decimal.

How can you tell when a fraction is close to 1/4? Do not refer to decimal numbers.

Write a story problem in which 3/5 is treated as a part-whole fraction, with discrete quantities.

Write each decimal amount as a fraction. A) $56.\overline{38}$ B) 7.453

Give three decimals between 2.3456 and 2.3457. If it is not possible, explain why not.

(Number sense item, which means no calculator or hand calculation and no decimals.) Use number sense to put these amounts in order, from smallest to largest. $\frac { 141 } { 280 }$ $\frac { 101 } { 300 }$ 1.3% $\frac { 121 } { 360 }$ $\frac { 1000 } { 3000 }$

$1 \frac { 7 } { 12 } + 2 \frac { 5 } { 11 } + 3 \frac { 5 } { 12 } + \frac { 7 } { 13 }$ Is about:

For each of the following, tell which is larger by referring to benchmarks. For each problem, show the benchmark used. A) 3/4 or 4/9 B) B) 10/41 or 3/11

Name three common denominators for the following fractions: A) $\frac { 3 } { 8 }$ and $\frac { 7 } { 12 }$ B) $\frac { 5 } { 72 }$ and $\frac { 7 } { 144 }$ C) $\frac { 9 } { 40 }$ and $\frac { 7 } { 60 }$

In each case, tell which is larger by referring to benchmarks. Explain what you did, making clear what your benchmark is. (Do not use common denominators.) A) 7/15 or 4/7 of the distance? B) B) 8/27 or 7/18 of those voting?

Use sketches to show that: A) $\frac { 20 } { 15 } = 1 \frac { 1 } { 3 }$ B) $\frac { 3 } { 7 } = \frac { 9 } { 21 }$

Which of these is a rationale for comparing $\frac { 3 } { 7 }$ And $\frac { 7 } { 11 }$ ? (You can choose more than one answer.)

Which is larger-11/13 or 13/15?

A) Give a number between $\frac { 3 } { 7 }$ and $\frac { 4 } { 7 }$ . B) Give a number between $\frac { 8 } { 111 }$ and $\frac { 8 } { 113 }$ C) Give a number between $\frac { 7 } { 114 }$ and $\frac { 8 } { 113 }$ D) Which number is closer to 1: $\frac { 9 } { 10 }$ or $\frac { 10 } { 9 }$ ?

If 3/4 of the heart-shaped cookies shown below are red heart-shaped cookies, how many of the cookies are red?