# Convert Yards, Feet and Inches

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Conversion between yards, feet and inches examples with solutions are presented including more More questions with solutions .

## Table of Conversion and Factor of Conversion

The relationships between $\text{ yards (yd)}$ , $\text{ feet (ft)}$ and $\text{ inches (in)}$ are given by
$1 \text{ yard (yd)} = 3 \text{ feet (ft)}$
$1 \text{ foot (ft)} = 12 \text{ inches (in)}$
$1 \text{ yard (yd)} = 36 \text{ inches (in) }$

## Examples of Conversion with Solutions

Example 1
Convert $7 \text{ ft}$ to $\text{ in}$.
Solution to Example 1

Since $1 \text{ ft} = 12 \text{ in}$ (given in table of conversion above), substitute $\text{ft}$ by $12 \text{ in}$ the given "$7 \text{ ft}$" and multiply as follows
$7 \text{ ft} = 7 \times 12 \text{ in}$
Evaluate
$7 \text{ ft} = ( 7 \times 12) \text{ in} = 84 \text{ in}$

Example 2
$5 \text{ yd}$ to $\text{ ft}$.
Solution to Example 2

Since $1 \text{ yd} = 3 \text{ ft}$ (given in table of conversion above), substitute $\text{ yd}$ by $3 \text{ ft}$ in the given "$5 \text{ yd}$" and multiply
$5 \text{ yd} = 5 \times 3 \text{ ft}$
Evaluate
$5 \text{ yd} = (5 \times 3) \text{ ft} = 15 \text{ ft}$

Example 3
$12 \text{ ft}$ to $\text{ yd}$.
Solution to Example 3

from the table of conversion above, $1 \text{ yd} = 3 \text{ ft}$. Write $12 \text{ ft}$ as a multiple of $3 \text{ ft}$ as follows
$12 \text{ ft} = 4 \times (3 \text{ ft})$
Substitute $3 \text{ ft}$ by $\text{ yd}$ and write
$12 \text{ ft} = 4 \text{ yd}$

Example 4
Convert $36 \text{ in}$ to $\text{ ft}$.
Solution to Example 4

Since $1 \text{ ft} = 12 \text{ in}$ (from the table of conversion above), write $36 \text{ in}$ as a multiple of $12 \text{ in}$.
$36 \text{ in} = 3 \times ( 12 \text{ in} )$
Substitute $12 \text{ in}$ by $\text{ ft}$
$36 \text{ in} = 3 \text{ ft}$

Example 5
Convert $17 \text{ ft}$ to $\text{ yd}$ and $\text{ ft}$.
Solution to Example 5

From table of conversion above, $1 \text{ yard (yd)} = 3 \text{ feet (ft)}$, we therefore need to write $17 \text{ ft}$ as a multiple of $3 \text{ ft}$ if possible using division.
The division of $17$ by $3$ gives $5$ and a remainder equal to $2$. Hence
$17 = 5 \times 3 + 2$
which may be used to write
$17 \text{ ft} = 5 � (3 \text{ ft}) + 2 \text{ ft}$
Substitute $3 \text{ ft}$ by $\text{ yd}$ and write
$17 \text{ ft} = 5 \text{ yd} + 2 \text{ ft}$
which may also be written as
$17 \text{ ft} = 5 \text{ yd} \; \; 2 \text{ ft}$

Example 6
Convert $21.4 \text{ ft}$ to decimal $\text{ yd}$ and round the answer to two decimal places.
Solution to Example 6

From table of conversion $1 \text{ yd} = 3 \text{ ft}$.
The number of $\text{ yd}$ in $21.4 \text{ ft}$ is found by division as follows
$21.4 \text{ ft} = ( 21.4 \div 3 ) \text{ yd}$
Evaluate the division
$21.4 \text{ ft} = 7.13333333333 \text{ yd}$
Round to two decimal places
$21.4 \text{ ft} = 7.13 \text{ yd}$

## Questions

Convert the following

1.    $9 \text{ yd}$ to $\text{ ft}$
2.    $5 \text{ ft}$ to $\text{ in}$
3.    $21 \text{ ft}$ to $\text{ yd}$
4.    $36 \text{ in}$ to $\text{ ft}$
5.    $3 \text{ yd}$ to $\text{ in}$
6.    $32 \text{ in}$ to $\text{ ft}$ and $\text{ in}$
7.    $41 \text{ in}$ to decimal $\text{ yd}$ and round the answer to two decimal places.