Read the scenario and complete the sentence by providing the simplified fraction or decima… — Armed Services Vocational Aptitude Battery (ASVAB)

Read the scenario and complete the sentence by providing the simplified fraction or decimal.

Answer:A mechanic has

\frac{7}{8}

of a quart of oil in a bottle. After using

\frac{1}{4}

of a quart to lubricate a machine part, there is 【5/8】 of a quart of oil remaining.

5/8

To find the remaining oil, we subtract the used amount,

\frac{1}{4}

of a quart, from the starting amount,

\frac{7}{8}

of a quart. First, we must convert

\frac{1}{4}

to an equivalent fraction with a common denominator of

8

. Since

4 \times 2 = 8

, we multiply both the numerator and denominator by

2

to get

\frac{2}{8}

. Finally, we subtract the numerators while keeping the denominator the same:

\frac{7}{8} - \frac{2}{8} = \frac{5}{8}

Identify the mathematical operation required.

Subtraction is needed.

The problem asks for the amount remaining after a specific portion is used.

Find a common denominator for the fractions

\frac{7}{8}

and

\frac{1}{4}

The least common denominator is 8.

Fractions must have the same denominator to be added or subtracted.

Convert

\frac{1}{4}

into an equivalent fraction with a denominator of 8.

\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}

Multiplying the numerator and denominator by the same value maintains the fraction's proportion.

Subtract the converted fraction from the initial amount.

\frac{7}{8} - \frac{2}{8} = \frac{5}{8}

Subtract the numerators while keeping the common denominator.

Subtracting fractions with unlike denominators by first finding a common denominator in a real-world context.

Question