Question

Andrea used 4 1/3 yards of material to make a dress she has 1 1/4 yards left over how much material did Andrea start with

Answer 1

Answer:

$1\frac{7}{12}\quad$  yards $\left(\mathrm{Decimal:\quad }\:1.58333\dots \right)$

Step-by-step explanation:

To find how much Andrea started with, subtraction is needed. To subtract, we need to set up fractions;

$4\frac{1}{3}-\frac{11}{4}$

• Convert the mixed number to an improper fraction: $a\frac{b}{c} = \frac{a \cdot c+b }{c}$

$4\frac{1}{3}=\frac{4\cdot 3+1}{3}$

$=\frac{13}{3}$

$=\frac{13}{3}-\frac{11}{4}$

Least common multiplier: 3,4 = 12

Adjust fractions based on the LCM

$=\frac{52}{12}-\frac{33}{12}$

Apply the fraction rule: $\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

$\frac{52}{12}-\frac{33}{12}=\frac{52-33}{12}$

$=\frac{52-33}{12}$

Add the numbers: $52-33=19$

$=\frac{19}{12}$

• Convert the improper fraction to mixed numbers: $Quotient \frac{Remainder}{Divisor}$

$\frac{19}{12}=1\frac{7}{12}$

$=1\frac{7}{12}$

Therefore, Andrea started with $1\frac{7}{12}$ yard material.