Math / Numbers & Operations

QuestionHere are some facts about units of length. \begin{tabular}{|c|c|c|} \hline Unit & Symbol & Fact \\ \hline inch & in & \\ \hline foot & ft & $1 \mathrm{ft}=12 \mathrm{in}$ \\ \hline yard & yd & $1 \mathrm{yd}=3 \mathrm{ft}$ \\ \hline \end{tabular}
Fill in the blanks. $5 \mathrm{ft}=$ $\square$ in $18 \mathrm{ft}=$ $\square$ yd

Studdy Solution

STEP 1

What is this asking? We need to convert a measurement in feet to inches, and another measurement in feet to yards. Watch out! Make sure to multiply or divide by the correct conversion factor!

STEP 2

1. Convert feet to inches
2. Convert feet to yards

STEP 3

We're given $5$ feet and need to convert it to inches.
We know that $1$ foot is equal to $12$ inches.

STEP 4

To convert from feet to inches, we need to multiply by $12$ .
Think about it: since inches are smaller than feet, we should have more of them, so we multiply!

STEP 5

So, we multiply the given value in feet by the conversion factor: $5 \ \text{ft} \cdot \frac{12 \ \text{in}}{1 \ \text{ft}}$

STEP 6

Notice how the units of "ft" divide to one, leaving us with just inches! $5 \cdot 12 \ \text{in} = 60 \ \text{in}$

STEP 7

Now, we have $18$ feet and we want to convert it to yards.
We know that $1$ yard is equal to $3$ feet.

STEP 8

To convert from feet to yards, we need to divide by $3$ .
Yards are bigger than feet, so we should have fewer of them, so we divide!

STEP 9

Let's divide our given value in feet by the conversion factor: $18 \ \text{ft} \cdot \frac{1 \ \text{yd}}{3 \ \text{ft}}$

STEP 10

Again, the "ft" units divide to one, leaving us with yards! $\frac{18}{3} \ \text{yd} = 6 \ \text{yd}$

STEP 11

$5$ ft $= 60$ in $18$ ft $= 6$ yd

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Studdy Solution

STEP 1

What is this asking? We need to convert a measurement in feet to inches, and another measurement in feet to yards. Watch out! Make sure to multiply or divide by the correct conversion factor!

STEP 2

1. Convert feet to inches
2. Convert feet to yards

STEP 3

We're given $5$ feet and need to convert it to inches.
We know that $1$ foot is equal to $12$ inches.

STEP 4

To convert from feet to inches, we need to multiply by $12$ .
Think about it: since inches are smaller than feet, we should have more of them, so we multiply!

STEP 5

So, we multiply the given value in feet by the conversion factor: $5 \ \text{ft} \cdot \frac{12 \ \text{in}}{1 \ \text{ft}}$

STEP 6

Notice how the units of "ft" divide to one, leaving us with just inches! $5 \cdot 12 \ \text{in} = 60 \ \text{in}$

STEP 7

Now, we have $18$ feet and we want to convert it to yards.
We know that $1$ yard is equal to $3$ feet.

STEP 8

To convert from feet to yards, we need to divide by $3$ .
Yards are bigger than feet, so we should have fewer of them, so we divide!

STEP 9

Let's divide our given value in feet by the conversion factor: $18 \ \text{ft} \cdot \frac{1 \ \text{yd}}{3 \ \text{ft}}$

STEP 10

Again, the "ft" units divide to one, leaving us with yards! $\frac{18}{3} \ \text{yd} = 6 \ \text{yd}$

STEP 11

$5$ ft $= 60$ in $18$ ft $= 6$ yd

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Studdy Solution

STEP 1

What is this asking? We need to convert a measurement in feet to inches, and another measurement in feet to yards. Watch out! Make sure to multiply or divide by the correct conversion factor!

STEP 2

1. Convert feet to inches2. Convert feet to yards

STEP 3

We're given 555 **feet** and need to convert it to **inches**.We know that 111 **foot** is equal to 121212 **inches**.

STEP 4

To convert from **feet** to **inches**, we need to *multiply* by 121212.Think about it: since inches are smaller than feet, we should have *more* of them, so we multiply!

STEP 5

So, we **multiply** the given value in **feet** by the conversion factor: 5 ft⋅12 in1 ft5 \ \text{ft} \cdot \frac{12 \ \text{in}}{1 \ \text{ft}}5 ft⋅1 ft12 in​

STEP 6

Notice how the units of "ft" divide to one, leaving us with just inches! 5⋅12 in=60 in5 \cdot 12 \ \text{in} = 60 \ \text{in}5⋅12 in=60 in

STEP 7

Now, we have 181818 **feet** and we want to convert it to **yards**.We know that 111 **yard** is equal to 333 **feet**.

STEP 8

To convert from **feet** to **yards**, we need to *divide* by 333.Yards are bigger than feet, so we should have *fewer* of them, so we divide!

STEP 9

Let's **divide** our given value in **feet** by the conversion factor: 18 ft⋅1 yd3 ft18 \ \text{ft} \cdot \frac{1 \ \text{yd}}{3 \ \text{ft}}18 ft⋅3 ft1 yd​

STEP 10

Again, the "ft" units divide to one, leaving us with yards! 183 yd=6 yd\frac{18}{3} \ \text{yd} = 6 \ \text{yd}318​ yd=6 yd

STEP 11

555 ft =60= 60=60 in 181818 ft =6= 6=6 yd

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1. Convert feet to inches
2. Convert feet to yards

We're given $5$ feet and need to convert it to inches.
We know that $1$ foot is equal to $12$ inches.

To convert from feet to inches, we need to multiply by $12$ .
Think about it: since inches are smaller than feet, we should have more of them, so we multiply!

So, we multiply the given value in feet by the conversion factor: $5 \ \text{ft} \cdot \frac{12 \ \text{in}}{1 \ \text{ft}}$

Notice how the units of "ft" divide to one, leaving us with just inches! $5 \cdot 12 \ \text{in} = 60 \ \text{in}$

Now, we have $18$ feet and we want to convert it to yards.
We know that $1$ yard is equal to $3$ feet.

To convert from feet to yards, we need to divide by $3$ .
Yards are bigger than feet, so we should have fewer of them, so we divide!

Let's divide our given value in feet by the conversion factor: $18 \ \text{ft} \cdot \frac{1 \ \text{yd}}{3 \ \text{ft}}$

Again, the "ft" units divide to one, leaving us with yards! $\frac{18}{3} \ \text{yd} = 6 \ \text{yd}$

$5$ ft $= 60$ in $18$ ft $= 6$ yd