Math / Numbers & Operations

Question2.) Jackson spent $\frac{2}{6}$ of his money on a sweatshirt, $\frac{5}{12}$ of his money on a pair of sneakers, and $\frac{1}{6}$ of his money on a pair of pants. What fraction of his money did Jackson spend in all?

Studdy Solution

STEP 1

1. Jackson's total money is represented as a whole, or $1$ .
2. The fractions of money spent on each item are given as $\frac{2}{6}$ , $\frac{5}{12}$ , and $\frac{1}{6}$ .
3. We need to find the total fraction of money spent.

STEP 2

1. Simplify the fractions.
2. Find a common denominator.
3. Add the fractions.

STEP 3

Simplify the fraction $\frac{2}{6}$ .
$\frac{2}{6} = \frac{1}{3}$

STEP 4

Identify the least common denominator (LCD) for the fractions $\frac{1}{3}$ , $\frac{5}{12}$ , and $\frac{1}{6}$ .
The denominators are $3$ , $12$ , and $6$ . The LCD is $12$ .

STEP 5

Convert each fraction to have the common denominator of $12$ .
$\frac{1}{3} = \frac{4}{12}$
$\frac{5}{12} = \frac{5}{12}$
$\frac{1}{6} = \frac{2}{12}$

STEP 6

Add the fractions with the common denominator.
$\frac{4}{12} + \frac{5}{12} + \frac{2}{12} = \frac{11}{12}$
Jackson spent a total fraction of:
$\boxed{\frac{11}{12}}$

Was this helpful?

Question2.) Jackson spent $\frac{2}{6}$ of his money on a sweatshirt, $\frac{5}{12}$ of his money on a pair of sneakers, and $\frac{1}{6}$ of his money on a pair of pants. What fraction of his money did Jackson spend in all?

Studdy Solution

STEP 1

1. Jackson's total money is represented as a whole, or $1$ .
2. The fractions of money spent on each item are given as $\frac{2}{6}$ , $\frac{5}{12}$ , and $\frac{1}{6}$ .
3. We need to find the total fraction of money spent.

STEP 2

1. Simplify the fractions.
2. Find a common denominator.
3. Add the fractions.

STEP 3

Simplify the fraction $\frac{2}{6}$ .
$\frac{2}{6} = \frac{1}{3}$

STEP 4

Identify the least common denominator (LCD) for the fractions $\frac{1}{3}$ , $\frac{5}{12}$ , and $\frac{1}{6}$ .
The denominators are $3$ , $12$ , and $6$ . The LCD is $12$ .

STEP 5

Convert each fraction to have the common denominator of $12$ .
$\frac{1}{3} = \frac{4}{12}$
$\frac{5}{12} = \frac{5}{12}$
$\frac{1}{6} = \frac{2}{12}$

STEP 6

Add the fractions with the common denominator.
$\frac{4}{12} + \frac{5}{12} + \frac{2}{12} = \frac{11}{12}$
Jackson spent a total fraction of:
$\boxed{\frac{11}{12}}$

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question2.) Jackson spent 26\frac{2}{6}62​ of his money on a sweatshirt, 512\frac{5}{12}125​ of his money on a pair of sneakers, and 16\frac{1}{6}61​ of his money on a pair of pants. What fraction of his money did Jackson spend in all?

Studdy Solution

STEP 1

1. Jackson's total money is represented as a whole, or 111.2. The fractions of money spent on each item are given as 26\frac{2}{6}62​, 512\frac{5}{12}125​, and 16\frac{1}{6}61​.3. We need to find the total fraction of money spent.

STEP 2

1. Simplify the fractions.2. Find a common denominator.3. Add the fractions.

STEP 3

Simplify the fraction 26\frac{2}{6}62​.26=13\frac{2}{6} = \frac{1}{3}62​=31​

STEP 4

Identify the least common denominator (LCD) for the fractions 13\frac{1}{3}31​, 512\frac{5}{12}125​, and 16\frac{1}{6}61​.The denominators are 333, 121212, and 666. The LCD is 121212.

STEP 5

Convert each fraction to have the common denominator of 121212.13=412\frac{1}{3} = \frac{4}{12}31​=124​512=512\frac{5}{12} = \frac{5}{12}125​=125​16=212\frac{1}{6} = \frac{2}{12}61​=122​

STEP 6

Add the fractions with the common denominator.412+512+212=1112\frac{4}{12} + \frac{5}{12} + \frac{2}{12} = \frac{11}{12}124​+125​+122​=1211​ Jackson spent a total fraction of:1112\boxed{\frac{11}{12}}1211​​

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Question2.) Jackson spent $\frac{2}{6}$ of his money on a sweatshirt, $\frac{5}{12}$ of his money on a pair of sneakers, and $\frac{1}{6}$ of his money on a pair of pants. What fraction of his money did Jackson spend in all?

1. Jackson's total money is represented as a whole, or $1$ .
2. The fractions of money spent on each item are given as $\frac{2}{6}$ , $\frac{5}{12}$ , and $\frac{1}{6}$ .
3. We need to find the total fraction of money spent.

1. Simplify the fractions.
2. Find a common denominator.
3. Add the fractions.

Simplify the fraction $\frac{2}{6}$ .
$\frac{2}{6} = \frac{1}{3}$

Identify the least common denominator (LCD) for the fractions $\frac{1}{3}$ , $\frac{5}{12}$ , and $\frac{1}{6}$ .
The denominators are $3$ , $12$ , and $6$ . The LCD is $12$ .

Convert each fraction to have the common denominator of $12$ .
$\frac{1}{3} = \frac{4}{12}$
$\frac{5}{12} = \frac{5}{12}$
$\frac{1}{6} = \frac{2}{12}$

Add the fractions with the common denominator.
$\frac{4}{12} + \frac{5}{12} + \frac{2}{12} = \frac{11}{12}$
Jackson spent a total fraction of:
$\boxed{\frac{11}{12}}$