Introduction to Fractions

When you share a pizza, you don't eat the whole thing. You eat a SLICE — a FRACTION of the whole pizza. Fractions are how math describes PARTS of something. Today you will master the basics, and you will never look at food the same way!

Every fraction has TWO numbers:\n\n**1/4**\n\nThe TOP number (1) is the NUMERATOR — how many parts you HAVE.\n\nThe BOTTOM number (4) is the DENOMINATOR — how many parts the WHOLE is divided into.\n\nRead "1/4" as "one-fourth" or "one out of four."

Imagine a pizza cut into 8 equal slices:\n\n- 1 slice = **1/8** of the pizza\n- 2 slices = **2/8** (or 1/4)\n- 4 slices = **4/8** (or 1/2 — half!)\n- 8 slices = **8/8** = the WHOLE pizza!\n\nWhen the top and bottom numbers are the same, you have the WHOLE thing.

Fractions only work when the parts are EQUAL. If you cut a pizza into 4 unequal slices, those slices are NOT fourths. Fairness = equal parts.\n\nPractice: is a cake cut in 4 equal pieces fractions? YES (fourths). Is a cake cut in 3 big and 1 tiny piece fractions? NO — the pieces are not equal.

Which is BIGGER: 1/2 or 1/4?\n\nHere's the trick: when the TOP number is the same (1), the fraction with the SMALLER denominator is BIGGER.\n\n- 1/2 of a pizza = half (BIG slice)\n- 1/4 of a pizza = a quarter (SMALLER slice)\n- 1/8 of a pizza = tiny slice\n\nMORE parts to share = SMALLER pieces for each person.