Fractional Distance

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

What does the term 'distance' refer to in mathematics?

Back

Distance refers to the amount of space between two points, often measured in units such as meters or kilometers.

Front

How do you find a fractional distance between two points, C and D?

Back

To find a fractional distance, multiply the total distance between C and D by the fraction (e.g., for 2/7, calculate (2/7) * distance CD).

Tags

CCSS.7.EE.B.3

Front

If point Q is 2/7 the distance from C to D, how do you express this mathematically?

Back

Q = C + (2/7) * (D - C).

Front

What is the significance of the numerator in a fraction?

Back

The numerator indicates how many parts of the whole are being considered.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

What is the significance of the denominator in a fraction?

Back

The denominator indicates the total number of equal parts the whole is divided into.

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Front

How can you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator (e.g., 2/7 = 0.2857).

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Front

What is the relationship between fractions and ratios?

Back

A fraction is a specific type of ratio that compares a part to a whole, while a ratio compares two quantities.

Tags

CCSS.6.RP.A.3A

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert the fractions, and then add the numerators.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction (e.g., 1 1/2).

Tags

CCSS.3.NF.A.3C