Number Sense Mary has three lengths
of cable, yard long, yard long, and
yard long. Which two pieces together
make a length of yard?

Ask by West Griffiths. in the United States

Jan 24,2025

Question

Number Sense Mary has three lengths
of cable, yard long, yard long, and
yard long. Which two pieces together
make a length of yard?

Ask by West Griffiths. in the United States

Jan 24,2025

UpStudy AI · Accepted Answer

To determine which two cable lengths add up to $$ \frac{20}{24} $$ yard, let's analyze each pair of lengths step by step.

### Given Cable Lengths:
1. $$ \frac{3}{6} $$ yard
2. $$ \frac{1}{4} $$ yard
3. $$ \frac{1}{3} $$ yard

### Goal:
Find two lengths whose sum equals $$ \frac{20}{24} $$ yard.

### Step 1: Simplify the Target Length
First, simplify $$ \frac{20}{24} $$:

$$
\frac{20}{24} = \frac{5}{6} \quad (\text{divided numerator and denominator by 4})
$$

So, we need to find two lengths that add up to $$ \frac{5}{6} $$ yard.

### Step 2: Simplify Given Lengths
Simplify each cable length to make calculations easier:

1. $$ \frac{3}{6} = \frac{1}{2} $$ yard
2. $$ \frac{1}{4} $$ yard (already simplified)
3. $$ \frac{1}{3} $$ yard (already simplified)

### Step 3: Calculate Pairwise Sums
Now, calculate the sum of each possible pair:

1. **First and Second Lengths:**
   $$
   \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} = \frac{18}{24}
   $$
   
2. **First and Third Lengths:**
   $$
   \frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6} = \frac{20}{24}
   $$
   
3. **Second and Third Lengths:**
   $$
   \frac{1}{4} + \frac{1}{3} = \frac{3}{12} + \frac{4}{12} = \frac{7}{12} = \frac{14}{24}
   $$

### Step 4: Identify the Correct Pair
From the calculations:

- **First and Third lengths** add up to $$ \frac{5}{6} $$ yard, which is equivalent to $$ \frac{20}{24} $$ yard.

### **Conclusion:**
Mary should use the $$ \frac{3}{6} $$ yard (which simplifies to $$ \frac{1}{2} $$ yard) and the $$ \frac{1}{3} $$ yard cables together. Their combined length is $$ \frac{20}{24} $$ yard.
Mary should use the $$ \frac{1}{2} $$ yard and $$ \frac{1}{3} $$ yard cables together, which add up to $$ \frac{20}{24} $$ yard.

Number Sense Mary has three lengths
of cable, yard long, yard long, and
yard long. Which two pieces together
make a length of yard?

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Solución

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Number Sense Mary has three lengths of cable, yard long, yard long, and yard long. Which two pieces together make a length of yard?

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Arithmetic Questions

Number Sense Mary has three lengths
of cable, yard long, yard long, and
yard long. Which two pieces together
make a length of yard?