# Dividing Fractions

To help us better understand what happens when we divide fractions, we like to imagine them as pizzas or legos.Pick whichever you vibe with more:

INTRO

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Any time we divide a number by a second number, we’re really just trying to answer the question: how many times does the second number go into the first number?

Question | Meaning | Answer |

$6÷2=?$ | How many $2$'s are in $6$? | $3$ |

We can see that to divide, we actually just

**multiply**the first number by the second number flipped.$6÷2 =6×21 =1×26×1 =26 =3 $This works for all numbers, including fractions:Question | Meaning | Answer |

$4÷21 =?$ | How many $21 $'s are in $4$? | $8$ |

$4÷21 =4×2=8 $

### What is a reciprocal? 🤔

The reciprocal of a number is equal to the original number flipped. For example, the reciprocal of $21 $ is $2$ and the reciprocal of $32 $ is $23 $.

Calculator

Lesson

Practice

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CALCULATOR

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## Dividing Fractions Calculator

KEY STEPS

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## How to Divide Fractions

### Step 1. Make sure both numbers are fractions.

If multiplying a fraction by a whole number, convert the whole number to a fraction by placing it over $1$. Otherwise, move onto Step 2.

### Step 2. Flip both the sign and the second fraction.

$ba $$÷dc $$=ba $$×cd $

### Step 3. Multiply across the top.

### Step 4. Multiply across the bottom.

### Step 5. Simplify (if needed).

LESSON

— Dividing Fractions

## Dividing Fractions

Division is all about finding how many times a number goes into another number.

We can solve division problems that include fractions by remembering that a number

**divided**by a second number is equal to the first number**multiplied**by the reciprocal of the second number.Question | Meaning | Answer |

$21 ÷41 =?$ | How many $41 $'s are in $21 $? | $2$ |

$21 ÷41 =21 ×4=2 $

PRACTICE

— Dividing Fractions

## Practice: Dividing Fractions

Question 1 of 10: $65 ÷32 =?$

### Step 1. Make sure both numbers are fractions.

Since both numbers are already fractions, we can just move on to Step 2.$65 ÷32 $

CONCLUSION

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Incredible job, look at you go! Thanks for checking out this lesson ☺️🙏. Where to next?

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