Twelve additions and subtractions over halves, thirds, quarters and up to twelfths — some pairs sharing a denominator, some not — with space to work and an answer key that has already been simplified.
Work out each answer and write it in its lowest terms.
1.5/6 − 1/2 =
2.2/5 + 1/3 =
3.2/5 + 1/2 =
4.1/3 + 1/2 =
5.1/3 − 3/10 =
6.2/3 + 2/3 =
7.5/12 + 3/8 =
8.1/2 − 1/12 =
9.1/8 + 11/12 =
10.5/6 − 1/6 =
11.2/3 − 1/4 =
12.2/3 + 3/8 =
Adding and subtracting fractions
NameDate/ 12
Work out each answer and write it in its lowest terms.
1.5/6 − 1/2 =1/3
2.2/5 + 1/3 =11/15
3.2/5 + 1/2 =9/10
4.1/3 + 1/2 =5/6
5.1/3 − 3/10 =1/30
6.2/3 + 2/3 =4/3
7.5/12 + 3/8 =19/24
8.1/2 − 1/12 =5/12
9.1/8 + 11/12 =25/24
10.5/6 − 1/6 =2/3
11.2/3 − 1/4 =5/12
12.2/3 + 3/8 =25/24
What is on this sheet
Adding quarters to quarters and adding quarters to thirds are a week apart in the classroom, and this page has both, because telling them apart is the skill. The first thing to do with each problem is not to add anything: it is to look at the two bottom numbers and decide whether there is a common denominator to find.
Every answer on the key is in its lowest terms. That is the part a generated worksheet usually gets wrong — 2/8 and 1/4 are the same value and only one of them is marked right — so the arithmetic here is done in whole numbers and reduced by a greatest common divisor rather than by rounding a decimal that was never exact.
The answers were worked out when the problems were, so the key is the same page with the answers drawn in rather than a second attempt at the same questions — there is no way for the two to disagree. The number in the footer is the seed the sheet was built from: it is printed so that the identical sheet can be had again next week, rather than one that merely looks like it.
Change what is on it
This page is one sheet out of a family that can print thousands, and the settings behind it — how many problems, how big the numbers get, how they are laid out, whether there is room to work — are all switches. The builder link at the top of the page carries this sheet’s own settings, so the bench opens on exactly the sheet here rather than on a blank one.
The configuration travels in the address bar rather than on a server, so the link can be bookmarked or sent to somebody as it stands — and what they open is this sheet, down to the seed, rather than another one like it.
The same facts, on screen
Fractions are not in the games yet. What is underneath them — the times tables that find a common denominator — is, in The Grid.