Deck 18: Combined Operations With Decimal Fractions

Question 1

Reduce all fractions to their simplest forms. Convert all improper fractions to mixed numbers. Provide answers in the following format:
Fraction: 3/4
Mixed number: 1 5/8
What is the length of dimension A? Carry the answer to three decimal places.

Answer 1

8.625

Question 2

If A = 4.12", B = 3.25", and A, B, and C = 12.786", what is C, in inches? Round to the nearest hundredths.

Answer 2

5.42

Question 3

Reduce all fractions to their simplest forms. Convert all improper fractions to mixed numbers. Provide answers in the following format:
Fraction: 3/4
Mixed number: 1 5/8
What is the length of slot 1 added to slot 2? Carry the answer to four decimal places.

Answer 3

8.0625

Question 4

Reduce all fractions to their simplest forms. Convert all improper fractions to mixed numbers. Provide answers in the following format:
Fraction: 3/4
Mixed number: 1 5/8
What is the length of slot 2? Carry the answer to four decimal places.

Question 5

Reduce all fractions to their simplest forms. Convert all improper fractions to mixed numbers. Provide answers in the following format:
Fraction: 3/4
Mixed number: 1 5/8
What is the length of slot 1 added to slot 2, as a fraction?

Question 6

Reduce all fractions to their simplest forms. Convert all improper fractions to mixed numbers. Provide answers in the following format:
Fraction: 3/4
Mixed number: 1 5/8
What is the length of dimension A, as a fraction?

Question 7

A piece of round stock 45" long is cut into 2.25" pieces. How many pieces can be cut? Disregard waste.

Question 8

If one shim is 5.66" high, what is the height of 7 shims stacked vertically, one atop the other?

Question 9

Reduce all fractions to their simplest forms. Convert all improper fractions to mixed numbers. Provide answers in the following format:
Fraction: 3/4
Mixed number: 1 5/8
What is the length of slot 2, as a fraction?

Question 10

If the tolerance is 0.025" for a piece of metal pipe 9.67" long, what is the minimum allowable length, in inches? Express the answer to three decimal places.